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[b. Edinburgh, Scotland, June 13, 1831, d. Cambridge, England, November 5, 1879]
Much of Maxwell's early work was based on interaction of moving particles. In 1857 he showed that Saturn's rings must consist of small particles. Three years later he determined the statistical distribution of moving molecules in gases, explaining diffusion and conduction of heat (this theory was independently derived by Ludwig Boltzmann). Maxwell also studied color, being the first to show that the primary colors of light are red, green, and blue and demonstrating the first color photograph based on this idea. From 1856 through 1873 Maxwell developed the laws of electromagnetism, beginning with Michael Faraday's concept of a field of lines of force. Maxwell's calculations showed that electromagnetic waves in a vacuum travel at the same speed as light; he correctly concluded that light is a form of electromagnetic wave, boldly predicting the rest of the electromagnetic spectrum.
| Biography: James Clerk Maxwell |
The Scottish physicist James Clerk Maxwell (1831-1879) formulated important mathematical expressions describing electric and magnetic phenomena and postulated the identity of light as an electromagnetic action.
James Clerk Maxwell was born in Edinburgh on June 13, 1831. His father, who was a lawyer, was first named John Clerk but adopted the surname of Maxwell upon his succession to an estate, Glenlair, situated near Dalbeattie. James was a quiet child "much given to reading, drawing pictures, chiefly of animals, and constructing geometric models." A favorite pastime was reflecting the sun about his room with a highly polished tinplate, an activity which seemed to presage his adult preoccupation with optical phenomena.
Education and Early Researches
James's strange mode of dress helped earn him the nickname "Dafty" at Edinburgh Academy, where he was enrolled in 1841. His father, aware of his son's scholarly aptitude, began taking James to meetings of the Edinburgh Society of Arts and of the Royal Society. Through his school studies James had become interested in a problem in applied mathematics, the construction of a perfect oval. At the age of 15 he communicated a paper to the Edinburgh Royal Society, "On the Description of Oval Curves and Those Having a Plurality of Foci." He remained at Edinburgh Academy until 1847.
Optical studies occupied much of Maxwell's time in 1847. At Glenlair he experimented with Newton's rings, a chromatic effect produced by pressing lenses together, and studied the color variations of soap bubbles. In the spring of that year his uncle took him to see a demonstration of a "polarizing prism," and he engaged in observing the effects of polarized light by means of specimens of Iceland spar. A paper read to the Edinburgh Royal Society in 1850, "On the Equilibrium of Elastic Solids," was the outcome of these studies. There Maxwell described strains set up in elastic substances such as gelatin and compared his experimental results which had been optically obtained with his newly derived theory of such equilibrium. This work was written in Maxwell's third, and last, year at the University of Edinburgh; he had enrolled in 1847.
In 1850 Maxwell went to Cambridge University as an undergraduate. He enrolled at Peterhouse but in December moved to Trinity College. In due course he became a scholar of the college and a member of the select Essay Club, familiarly known as the "apostles" since its membership was limited to 12. He took the bachelor's degree in 1854. Following graduation Maxwell was elected a fellow of Trinity College and joined its staff of lecturers, with responsibility for the subjects of hydrostatics and optics. He also carried out optical investigations with tops which were proportionally colored and rapidly revolved to determine the true mixture of colors.
Aberdeen and King's College Professorships
Maxwell left Cambridge in 1856 to accept an appointment as professor of natural philosophy in Marischal College, Aberdeen. There he met Katherine Mary Dewar, daughter of the principal of the college. They were married in 1858. During the years of his Aberdeen professorship Maxwell continued his study of the theory of colors. However, a problem regarding the stability of the rings of Saturn also occupied much of his attention.
The French mathematician Pierre Simon de Laplace had shown that if Saturn's ring were a solid it could not be stable. Maxwell decided to study a hypothetical mathematical model of the planet in which the ring was "loaded" at one or more points. In this manner he found a solution which accounted for the motion of the ring on Newtonian laws of physics but which predicted that the loads would be visible as satellites. Eventually, however, he discovered an alternative solution which entailed a fluid ring or one constructed of a colloidal arrangement of separate small solid particles. For this work Maxwell received the Adam Prize offered by St. John's College in 1857, in honor of the discovery of Neptune by John Couch Adams.
The following year Maxwell's professorship was dissolved when Marischal College was amalgamated with King's College to form the University of Aberdeen. He obtained, however, the professorship of natural philosophy and astronomy in King's College, London. There his formal responsibilities to the college were quite demanding, involving regular evening classes for working men and artisans in addition to 9 months of lecturing for the regular students. Nevertheless he continued his scientific researches.
At the British Association meeting in Oxford in 1860, Maxwell exhibited a device for mixing colors of the spectrum. He also presented an important paper on Daniel Bernoulli's theory of gases. The theory depicted gas as consisting of a number of independent particles moving without mutual interference except upon collision. Maxwell demonstrated mathematically that the apparent viscosity of gases, their low heat conductivity, and the known laws of gas diffusion could be satisfactorily explained by this theory.
Maxwell resigned his professorship at King's College in 1865 and retired to Glenlair, where he produced some of his most important scientific writing. He presented his dynamic theory of gases to the Royal Society of London in 1866. His treatise on heat appeared in 1870, and the great work on electricity and magnetism was published in 1873.
Organization of the Cavendish Laboratory
In 1870 the Duke of Devonshire, who was chancellor of Cambridge, indicated his desire to build and outfit a physical laboratory for the university. In accepting the offer, university officials established a chair of experimental physics for the laboratory directorship. Maxwell became the first director of the Cavendish Laboratory in 1871.
Two important investigations undertaken at the Cavendish Laboratory when it opened in 1874, and supervised personally by Maxwell, concerned the accurate measurement of electrical resistance. The first was the testing of Ohm's law, a mathematical statement of the linear proportionality between electrical potential and the product of electrical resistance and current. Prior to the Cavendish researches there was no evidence that the law was more than a good approximation of the behavior of nature, nor was there any theoretical reason why the law should hold accurately over extended ranges of current or potential. The Cavendish investigations demonstrated the adequacy of Ohm's statement to within 1 part in 200,000 over large variations of these variables. Paralleling this work was an investigation of electrical standards and the determination of the ohm in absolute units of measure.
Influence on American Physics
In the early 1870s Maxwell not only played an important role in the scientific renaissance at Cambridge, but he was also instrumental in encouraging the development of high-level experimental physics in America. Original researchers who could understand the sophisticated mathematical formalism of European physicists such as Maxwell were rare at that time in the United States. The most eminent American scientific publication, American Journal of Science, was largely devoted to geological, botanical, and zoological topics; its editors simply did not understand exact science and its methods.
This was the situation faced by Henry Augustus Rowland, a young civil engineer from Rensselaer Institute, when he attempted to publish some magnetic researches. The American Journal editors repeatedly rejected Rowland's papers, forcing him in desperation to write directly to Maxwell. Maxwell received Rowland's work "with great interest" and saw to its immediate publication in the English Philosophical Magazine.
When Daniel Coit Gilman set out to find a faculty for a newly endowed university in Baltimore in 1875, he heard of Maxwell's interest in Rowland's work. For Gilman this endorsement was worth more than a "whole stack of recommendations." Thus Rowland became the first chairman of the physics department at Johns Hopkins University and until his death in 1901 led the way in establishing high-quality experimental physics in America.
Other Researches
Maxwell's work in optics, kinetic theory of gases, and electromagnetism forms some of his most important contributions to science. His paper "On the Theory of Compound Colours" of 1860 summarized numerous experiments with the colored tops mentioned above. By means of another device of his own invention, the "Colour-box," he investigated the effect of mixing given proportions of light taken from the spectrum. He showed that any given color sensation may be produced by combinations in due proportion of rays taken from three parts of the spectrum; that is, from three so-called primary colors. These experiments also tended to confirm the hypothesis that color blindness was due to the viewer's insensitivity to one of the three primary colors. For this work Maxwell received the Rumford Medal of the Royal Society of London.
The concept of discrete particles in his solution of the Saturn's rings problem may have led Maxwell to the study of gases; his first papers on this subject appeared in 1860. He pointed out that the velocities of different molecules of a gas, even if equal to start with, would become different in consequence of collisions with their neighbors. He therefore employed a statistical method of treating the problem in which the total number of molecules was divided into a series of groups. The velocities of all of the molecules constituting a group were the same within narrow limits. By taking the average velocity of each group into account, he was able to determine an important relationship between this velocity and the number of molecules in the group. He published papers on gas theory almost continuously until his death.
However, Maxwell is best remembered for his work on electricity and magnetism, which began with the important study of 1856 on lines of force as conceived by the English physicist Michael Faraday. Maxwell took Faraday's view that electrical and magnetic effects did not arise from attractions at a distance of electric or magnetic matter. Rather these effects were the means by which changes of some unknown description in an "ether" which filled all space became known to the experimenter.
Maxwell studied attractions of magnetic lines of force by means of a model based on the vortices or whirlpools of a fluid or mobile medium. This model was used as a mechanical illustration "to assist the imagination, but not to account for the phenomena." The centrifugal force of the vortices was accompanied by a tension directed parallel to the lines of force issuing from a magnetic pole. He found great difficulty, however, in conceiving of vortices revolving side by side in the same direction about parallel axes. The difficulty lay in understanding how contiguous portions of consecutive vortices could move in opposite directions.
Maxwell's well-known solution was to imagine that a layer of "particles, acting as idle wheels" was interposed between each vortex and its neighbor. Contiguous sides of the vortices then acted on the idle wheels to produce a direction of rotation opposite to that of the vortices themselves. The remarkable feature of this model discovered by Maxwell was that the action of the "idle wheels" could be used to analyze electric currents. His discovery yielded a mathematical relationship between electricity and magnetism.
Maxwell also studied dynamical changes in the lines of force and introduced the concept of energy storage and distribution in the ether. These ideas were developed in a great paper, "On a Dynamical Theory of the Electromagnetic Field," read to the Royal Society of London in 1864. He portrayed electromagnetic action as traveling through space at a definite rate in waves which were transverse to the direction of propagation. The paper was expanded into his classic Treatise on Electricity and Magnetism (1873), in which he postulated the identity of light as an electromagnetic phenomenon. The test of this theory in various experimental forms occupied the time of a large number of physicists throughout the world for the remainder of the century.
During the last years of his life Maxwell devoted much time to editing the Electrical Researches of Henry Cavendish (1879). He also wrote a textbook on heat and a small treatise on dynamics called "Matter and Motion." Among his other papers are some on geometric optics and several, published mostly in the Transactions of the Royal Edinburgh Society, on reciprocal figures and diagrams of force.
Maxwell died at Cambridge on Nov. 5, 1879. A memorial edition of his scientific papers was organized and published by the Cambridge University Press in 1890. Several lines from one of his essays written at Cambridge in 1856 serve as a fitting memorial to this great electrical theorist: "They know the laws by heart, and do the calculations by fingers…. When will they begin to think? Then comes active life: What do they do that by? Precedent, wheeltracks, and finger-posts."
Further Reading
An authoritative and well-documented biography of Maxwell is Lewis Campbell and William Garnett, The Life of James Clerk Maxwell (1882; rev. ed. 1884); the authors, who were personally acquainted with Maxwell, made use of a family diary as well as numerous papers and correspondence collected from members of the British scientific community. A highly readable account is R. T. Glazebrook, James Clerk Maxwell and Modern Physics (1901). Other studies are in J. G. Crowther, British Scientists of the Nineteenth Century (1935) and Men of Science (1936). A recent study is David K. C. MacDonald, Faraday, Maxwell and Kelvin (1964). C. Domb, ed., Clerk Maxwell and Modern Science: Six Commemorative Lectures by Sir Edward V. Appleton and Others (1964), provides extensive discussion of Maxwell's work by a number of highly competent British scientists.
| British History: James Clerk Maxwell |
Maxwell, James Clerk (1831-79). Maxwell was a mathematical physicist particularly eminent for his work on electromagnetism, and on the theory of gases. After holding chairs in Aberdeen and in London, he was in 1871 appointed to the professorship at Cambridge founded in memory of Henry Cavendish. He oversaw the building of the Cavendish Laboratory, where J. J. Thomson and Lord Rutherford were to work.
| Photography Encyclopedia: James Clerk Maxwell |
Maxwell, James Clerk (1831-79), Scottish physicist of genius whose greatest contribution to physics was his electromagnetic model for the nature of light, expressed in four monumental equations based on the findings of Michael Faraday. Another outstanding achievement was the placing of the kinetic theory of gases on a sound mathematical basis. He extended the work of Young and Helmholtz on colour vision and, based on the theory of primary colours, produced the first colour photograph in 1861, making separation negatives through red, green, and blue filters and projecting the images in register through similar filters. Although the experiment was flawed (the ‘red’ record was actually ultraviolet, his plates being insensitive to red), it led to the development of genuine three-colour additive and subtractive colour photography.
— Graham Saxby
Bibliography
| Columbia Encyclopedia: James Clerk Maxwell |
| Science Dictionary: James Clerk Maxwell |
A Scottish physicist of the nineteenth century. Maxwell organized the modern study of electricity and magnetism when he wrote down Maxwell's equations.
| Quotes By: James Clerk Maxwell |
Quotes:
"The only laws of matter are those that our minds must fabricate and the only laws of mind are fabricated for it by matter."
| Wikipedia: James Clerk Maxwell |
| James Clerk Maxwell | |
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James Clerk Maxwell (1831–1879)
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| Born | 13 June 1831 Edinburgh, Scotland, UK |
| Died | 5 November 1879 (aged 48) Cambridge, England, UK |
| Nationality | British |
| Ethnicity | Scottish |
| Fields | Physics and mathematics |
| Institutions | Marischal College, Aberdeen, UK King's College London, UK University of Cambridge, UK |
| Alma mater | University of Edinburgh, UK University of Cambridge, UK |
| Academic advisors | William Hopkins |
| Notable students | George Chrystal |
| Known for | Maxwell's equations Maxwell distribution Maxwell's demon Maxwell's discs Maxwell speed distribution Maxwell's theorem Maxwell material Generalized Maxwell model Displacement current |
| Notable awards | Smith's Prize (1854) Adams Prize (1857) Rumford Medal (1860) |
| Religious stance | Evangelical anti-positivist |
| Signature |
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James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish theoretical physicist and mathematician. His most important achievement was classical electromagnetic theory, synthesizing all previous unrelated observations, experiments and equations of electricity, magnetism and even optics into a consistent theory.[1] His set of equations—Maxwell's equations—demonstrated that electricity, magnetism and even light are all manifestations of the same phenomenon: the electromagnetic field. From that moment on, all other classic laws or equations of these disciplines became simplified cases of Maxwell's equations. Maxwell's work in electromagnetism has been called the "second great unification in physics",[2] after the first one carried out by Isaac Newton.
Maxwell demonstrated that electric and magnetic fields travel through space in the form of waves, and at the constant speed of light. Finally, in 1864 Maxwell wrote "A dynamical theory of the electromagnetic field", where he first proposed that light was in fact undulations in the same medium that is the cause of electric and magnetic phenomena.[3] His work in producing a unified model of electromagnetism is considered to be one of the greatest advances in physics.
Maxwell also developed the Maxwell distribution, a statistical means to describe aspects of the kinetic theory of gases. These two discoveries helped usher in the era of modern physics, laying the foundation for future work in such fields as special relativity and quantum mechanics.
Maxwell is also known for creating the first true colour photograph in 1861 and for his foundational work on the rigidity of rod-and-joint frameworks like those in many bridges.
Maxwell is considered by many physicists to be the 19th-century scientist with the greatest influence on 20th-century physics. His contributions to the science are considered by many to be of the same magnitude as those of Isaac Newton and Albert Einstein.[4] In the end of millennium poll, a survey of the 100 most prominent physicists saw Maxwell voted the third greatest physicist of all time, behind only Newton and Einstein.[5] On the centennial of Maxwell's birthday, Einstein himself described Maxwell's work as the "most profound and the most fruitful that physics has experienced since the time of Newton."[6] Einstein kept a photograph of Maxwell on his study wall, alongside pictures of Michael Faraday and Newton.[7]
Contents |
James Clerk Maxwell was born on 13 June 1831 at 14 India Street, Edinburgh, to John Clerk Maxwell, an advocate, and Frances Maxwell (née Cay).[8] Maxwell's father was a man of comfortable means, related to the Clerk family of Penicuik, Midlothian, holders of the baronetcy of Clerk of Penicuik; his brother being the 6th Baronet.[9] He had been born John Clerk,[10] adding the surname Maxwell to his own after he inherited a country estate in Middlebie, Kirkcudbrightshire from connections to the Maxwell family, themselves members of the peerage.[8]
Maxwell's parents did not meet and marry until they were well into their thirties,[11] unusual for the times, and Frances Maxwell was nearly 40 when James was born. They had had one earlier child, a daughter, Elizabeth, who died in infancy.[12] They named their only surviving child James, a name that had sufficed not only for his grandfather, but also many of his other ancestors.
The family moved when Maxwell was young to "Glenlair", a house his parents had built on the 1500 acre (6.1 km2) Middlebie estate.[13] All indications suggest that Maxwell had maintained an unquenchable curiosity from an early age.[14] By the age of three, everything that moved, shone, or made a noise drew the question: "what's the go o' that?".[15] In a letter to his sister-in-law Jane Cay in 1834, his father described this innate sense of inquisitiveness:
He is a very happy man, and has improved much since the weather got moderate; he has great work with doors, locks, keys, etc., and "show me how it doos" is never out of his mouth. He also investigates the hidden course of streams and bell-wires, the way the water gets from the pond through the wall ...[16]
Recognizing the potential of the young boy, his mother Frances took responsibility for James' early education, which in Victorian era was largely the job of the woman of the house.[17] She was however taken ill with abdominal cancer, and after an unsuccessful operation, died in December 1839 when Maxwell was only eight. James' education was then overseen by John Maxwell and his sister-in-law Jane, both of whom played pivotal roles in the life of Maxwell.[17] His formal schooling began unsuccessfully under the guidance of a sixteen-year old hired tutor. Little is known about the young man John Maxwell hired to instruct his son, except that he treated the younger boy harshly, chiding him for being slow and wayward.[17] John Maxwell dismissed the tutor in November 1841, and after considerable thought, sent James to the prestigious Edinburgh Academy.[18] He lodged during term times at the house of his aunt Isabella; while there his passion for drawing was encouraged by his older cousin Jemima, herself a talented artist.[19]
The ten-year old Maxwell, raised in isolation on his father's countryside estate, did not fit in well at school.[20] The first year had been full, obliging him to join the second year with classmates a year his senior.[20] His mannerisms and Galloway accent struck the other boys as rustic, and arriving on his first day at school wearing home-made shoes and tunic earned him the unkind nickname of "Daftie".[21] Maxwell, however, never seemed to have resented the epithet, bearing it without complaint for many years.[22] Any social isolation at the Academy however ended when he met Lewis Campbell and Peter Guthrie Tait, two boys of a similar age, and themselves to become notable scholars. They would remain lifetime friends.[8]
Maxwell was fascinated by geometry at an early age, rediscovering the regular polyhedra before any formal instruction.[19] Much of his talent went unnoticed however, and, despite winning the school's scripture biography prize in his second year, his academic work remained unremarkable,[19] until, at the age of 13, he won the school's mathematical medal, and first prizes for English and poetry.[23]
For his first scientific work, at the age of only 14, Maxwell wrote a paper describing a mechanical means of drawing mathematical curves with a piece of twine, and the properties of ellipses and curves with more than two foci. His work, "Oval Curves", was presented to the Royal Society of Edinburgh by James Forbes, professor of natural philosophy at Edinburgh University,[8] Maxwell deemed too young for the task.[24] The work was not entirely original, Descartes having examined the properties of such multifocal curves in the seventeenth century, though Maxwell had simplified their construction.[24]
Maxwell left the Academy in 1847 at the age of 16 and began attending classes at the University of Edinburgh.[25] Having the opportunity to attend Cambridge after his first term, Maxwell decided instead to complete the full course of his undergraduate studies at Edinburgh. The academic staff of Edinburgh University included some highly regarded names, and Maxwell's first year tutors included Sir William Hamilton, who lectured him on logic and metaphysics, Philip Kelland on mathematics, and James Forbes on natural philosophy.[8] Maxwell did not however find his classes at Edinburgh very demanding,[26] and was able to immerse himself in private study during free time at the university, and particularly when back home at Glenlair.[27] There he would experiment with improvised chemical and electromagnetic apparatus, but his chief preoccupation was the properties of polarised light.[28] He constructed shaped blocks of gelatine, subjecting them to various stresses, and with a pair of polarising prisms gifted him by the famous scientist William Nicol, would view the coloured fringes developed within the jelly.[29] Maxwell had discovered photoelasticity, a means of determining the stress distribution within physical structures.[30]
In his eighteenth year, Maxwell contributed two papers for the Transactions of the Royal Society of Edinburgh—one of which, "On the equilibrium of elastic solids", laid the foundation for an important discovery of his later life: the temporary double refraction produced in viscous liquids by shear stress.[31] The other was titled "Rolling curves". As with his schoolboy paper "Oval Curves", Maxwell was considered too young to stand at the rostrum and present it himself, and it was delivered to the Royal Society by his tutor Kelland.[32]
In October 1850, already an accomplished mathematician, Maxwell left Scotland for Cambridge University.[33] He initially attended Peterhouse, but before the end of his first term transferred to Trinity College, where he believed it would be easier to obtain a fellowship.[34] At Trinity, he was elected to the elite secret society known as the Cambridge Apostles.[35] In November 1851, Maxwell studied under William Hopkins, whose success in nurturing mathematical genius had earned him the nickname of "senior wrangler-maker".[36] A considerable part of Maxwell's translation of his electromagnetism equations was accomplished during his time in Trinity.
In 1854, Maxwell graduated from Trinity with a degree in mathematics. He scored second highest in the final examination, coming behind Edward Routh, and thereby earning himself the title of Second Wrangler, but was declared equal with Routh in the more exacting ordeal of the Smith's Prize examination.[37] Immediately after taking his degree, Maxwell read to the Cambridge Philosophical Society a novel memoir, "On the transformation of surfaces by bending".[38] This is one of the few purely mathematical papers he published, and it demonstrated Maxwell's growing stature as a mathematician.[39] Maxwell decided to remain at Trinity after graduating and applied for a fellowship, a process that he could expect to take a couple of years.[40] Buoyed by his success as a research student, he would be free, aside from some tutoring and examining duties, to pursue scientific interests at his own leisure.[40]
The nature and perception of colour was one such interest, and had begun at Edinburgh University while he was a student of Forbes.[41] Maxwell took the coloured spinning tops invented by Forbes, and was able to demonstrate that white light would result from a mixture of red, green and blue light.[41] His paper, "Experiments on colour", laid out the principles of colour combination, and was presented to the Royal Society of Edinburgh in March 1855.[42] This time, it would be Maxwell himself who delivered his lecture.[42]
Maxwell was made a fellow of Trinity on 10 October 1855, sooner than was the norm,[42] and was asked to prepare lectures on hydrostatics and optics, and to set examination papers.[43] However, the following February he was informed by Forbes that the Chair of Natural Philosophy at Marischal College, Aberdeen, had become vacant, and urged to apply.[44] His father assisted him in the task of preparing the necessary references, but died on 2 April at Glenlair before either knew the result of Maxwell's candidacy.[44] Maxwell nevertheless accepted the professorship at Aberdeen, leaving Cambridge in November 1856.[43]
The twenty-five year old Maxwell was a decade and a half younger than any other professor at Marischal, but engaged himself with his new responsibilities as head of department, devising the syllabus and preparing the lectures.[45] He committed himself to lecturing 15 hours a week, including a weekly pro bono lecture to the local working men's college.[45] He lived in Aberdeen during the six months of the academic year, and would spend the summers at Glenlair, which he had inherited from his father.
His mind was focused on a conundrum which had eluded scientists for two hundred years: the nature of Saturn's rings. It was unknown how they could remain stable without breaking up, drifting away or crashing into Saturn. The problem took on a particular resonance at this time as St John's College, Cambridge had chosen it as the topic for the 1857 Adams Prize.[46] Maxwell devoted two years to studying the problem, proving that a regular solid ring could not be stable, and a fluid ring would be forced by wave action to break up into blobs. Neither met with observations, and Maxwell was able to conclude that the rings must comprise numerous small particles he called "brick-bats", each independently orbiting Saturn.[46] Maxwell was awarded the £130 Adams Prize in 1859 for his essay "On the stability of saturn's rings"; he was the only entrant to have made enough headway to submit an entry.[47] His work was so detailed and convincing that when George Biddell Airy read it he commented "It is one of the most remarkable applications of mathematics to physics that I have ever seen."[48] It was considered the final word on the issue until direct observations by the Voyager flybys of the 1980s, which confirmed Maxwell's prediction.
Maxwell had in 1857 befriended the Principal of Marischal, the Reverend Daniel Dewar, and through him he was to meet Dewar's daughter, Katherine Mary Dewar. They were engaged in February 1858, marrying in Aberdeen on 2 June 1859. Comparatively little is known of Katherine, seven years Maxwell's senior: Maxwell's biographer and friend Campbell adopted an uncharacteristic reticence on the subject, though describing their married life as "one of unexampled devotion".[49]
In 1860, Marischal College merged with the neighbouring King's College to form the University of Aberdeen. There was no room for two professors of Natural Philosophy, and Maxwell found himself in the extraordinary position for someone of his scientific stature of being laid off. He was unsuccessful applying for Forbes' recently vacated chair at Edinburgh, the post going to Tait, but was granted instead the Chair of Natural Philosophy at King's College London.[50] After recovering from a near-fatal bout of smallpox in the summer of 1860, Maxwell headed south to London with his wife Katherine.[51]
Maxwell's time at King's was probably the most productive of his career. He was awarded the Royal Society's Rumford Medal in 1860 for his work on colour, and elected to the Society itself in 1861.[52] This period of his life would see him display the world's first colour photograph, develop further his ideas on the viscosity of gases, and proposed a system of defining physical quantities, now known as dimensional analysis. Maxwell would often attend lectures at the Royal Institution, where he came into regular contact with Michael Faraday. The relationship between the two men could not be described as close—Faraday was 40 years Maxwell's senior and showing signs of senility—but they maintained a strong respect for each other's talents.[53]
The time is especially known for the advances Maxwell made in electromagnetism. He had examined the nature of electromagnetic fields in his two-part 1861 paper "On physical lines of force", in which he had provided a conceptual model for electromagnetic induction, consisting of tiny spinning cells of magnetic flux. A further two parts to the paper were published early in 1862, in the first of which he discussed the nature of electrostatics and displacement current. The final part dealt with the rotation of the plane of polarisation of light in a magnetic field, a phenomenon discovered by Faraday and now known as the Faraday effect.[54]
In 1865, Maxwell resigned the chair at King's College London and returned to Glenlair with Katherine.
He wrote a textbook of the Theory of Heat (1871), and an elementary treatise on Matter and Motion (1876). Maxwell was also the first to make explicit use of dimensional analysis in 1871.
In 1871, he became the first Cavendish Professor of Physics at Cambridge. Maxwell was put in charge of the development of the Cavendish Laboratory. He supervised every step of the progress of the building and of the purchase of the very valuable collection of apparatus paid for by its generous founder, the 7th Duke of Devonshire (chancellor of the university, and one of its most distinguished alumni). One of Maxwell's last great contributions to science was the editing (with copious original notes) of the electrical researches of Henry Cavendish, from which it appeared that Cavendish researched such questions as the mean density of the earth and the composition of water, among other things.
He died in Cambridge of abdominal cancer on 5 November 1879 at the age of 48.[25] Maxwell is buried at Parton Kirk, near Castle Douglas in Galloway, Scotland. The extended biography The Life of James Clerk Maxwell, by his former schoolfellow and lifelong friend Professor Lewis Campbell, was published in 1882 and his collected works, including the series of articles on the properties of matter, such as "Atom", "Attraction", "Capillary action", "Diffusion", "Ether", etc., were issued in two volumes by the Cambridge University Press in 1890.
Ivan Tolstoy, author of one of Maxwell's biographies, remarked at the frequency with which scientists writing short biographies on Maxwell often omit the subject of his Christianity. Maxwell's religious beliefs and related activities have been the focus of several peer-reviewed and well-referenced papers.[55][56][57][58] Attending both Presbyterian and Episcopalian services as a child, Maxwell later underwent an evangelical conversion (April 1853), which committed him to an anti-positivist position.[57]
As a great lover of British poetry, Maxwell memorised poems and wrote his own. The best known is Rigid Body Sings, closely based on Comin' Through the Rye by Robert Burns, which he apparently used to sing while accompanying himself on a guitar. It has the immortal opening lines[59]
Gin a body meet a body
Flyin' through the air.
Gin a body hit a body,
Will it fly? And where?
A collection of his poems was published by his friend Lewis Campbell in 1882.
Maxwell had studied and commented on the field of electricity and magnetism as early as 1855/6 when "On Faraday's lines of force" was read to the Cambridge Philosophical Society. The paper presented a simplified model of Faraday's work, and how the two phenomena were related. He reduced all of the current knowledge into a linked set of differential equations with 20 equations in 20 variables. This work was later published as "On physical lines of force" in March 1861.[60]
Around 1862, while lecturing at King's College, Maxwell calculated that the speed of propagation of an electromagnetic field is approximately that of the speed of light. He considered this to be more than just a coincidence, and commented "We can scarcely avoid the conclusion that light consists in the transverse undulations of the same medium which is the cause of electric and magnetic phenomena."[48]
Working on the problem further, Maxwell showed that the equations predict the existence of waves of oscillating electric and magnetic fields that travel through empty space at a speed that could be predicted from simple electrical experiments; using the data available at the time, Maxwell obtained a velocity of 310,740,000 m/s. In his 1864 paper "A dynamical theory of the electromagnetic field", Maxwell wrote, "The agreement of the results seems to show that light and magnetism are affections of the same substance, and that light is an electromagnetic disturbance propagated through the field according to electromagnetic laws".[3]
His famous equations, in their modern form of four partial differential equations, first appeared in fully developed form in his textbook A Treatise on Electricity and Magnetism in 1873. Most of this work was done by Maxwell at Glenlair during the period between holding his London post and his taking up the Cavendish chair.[48]
Maxwell was proven correct, and his quantitative connection between light and electromagnetism is considered one of the great accomplishments of 19th century mathematical physics.
Maxwell also introduced the concept of the electromagnetic field in comparison to force lines that Faraday discovered. By understanding the propagation of electromagnetism as a field emitted by active particles, Maxwell could advance his work on light. At that time, Maxwell believed that the propagation of light required a medium for the waves, dubbed the luminiferous aether. Over time, the existence of such a medium, permeating all space and yet apparently undetectable by mechanical means, proved more and more difficult to reconcile with experiments such as the Michelson–Morley experiment. Moreover, it seemed to require an absolute frame of reference in which the equations were valid, with the distasteful result that the equations changed form for a moving observer. These difficulties inspired Albert Einstein to formulate the theory of special relativity, and in the process Einstein dispensed with the requirement of a luminiferous aether.
Maxwell contributed to the area of optics and colour vision, and is credited with the discovery that colour photographs could be formed using red, green, and blue filters. In 1861 he presented the world's first colour photograph during a Royal Institution lecture. He had Thomas Sutton, inventor of the single-lens reflex camera, photograph a tartan ribbon three times, each time with a different colour filter over the lens. The three images were reversal developed to form three colour separation transparencies, and then projected onto a screen with three different projectors, each equipped with the same colour filter used to take its image. When brought into focus, the three images formed a full colour image.[52] The three photographic plates now reside in a small museum at 14 India Street, Edinburgh, the house where Maxwell was born.
However, in the strictest sense, this demonstration did not produce a tangible photograph, but a photographic image produced by three carefully aligned projectors. It served as a "proof of concept" of the possibility of colour photography, using the additive principle, where white is produced by the presence of all three additive primaries (red, green and blue).
From 1855 to 1872, he published at intervals a series of valuable investigations connected with the "Perception of colour" and "Colour-blindness", for the earlier of which the Royal Society awarded him the Rumford Medal. The instruments which he devised for these investigations were simple and convenient in use. For example, Maxwell's discs were used to compare a variable mixture of three primary colours with a sample colour by observing the spinning "colour top."
One of Maxwell's major investigations was on the kinetic theory of gases. Originating with Daniel Bernoulli, this theory was advanced by the successive labours of John Herapath, John James Waterston, James Joule, and particularly Rudolf Clausius, to such an extent as to put its general accuracy beyond a doubt; but it received enormous development from Maxwell, who in this field appeared as an experimenter (on the laws of gaseous friction) as well as a mathematician.
In 1866, he formulated statistically, independently of Ludwig Boltzmann, the Maxwell–Boltzmann kinetic theory of gases. His formula, called the Maxwell distribution, gives the fraction of gas molecules moving at a specified velocity at any given temperature. In the kinetic theory, temperatures and heat involve only molecular movement. This approach generalized the previously established laws of thermodynamics and explained existing observations and experiments in a better way than had been achieved previously. Maxwell's work on thermodynamics led him to devise the thought experiment (Gedanken) that came to be known as Maxwell's demon.
In 1871, he established Maxwell's thermodynamic relations, which are statements of equality among the second derivatives of the thermodynamic potentials with respect to different thermodynamic variables.
Maxwell published a famous paper "On governors" in the Proceedings of Royal Society, vol. 16 (1867–1868). This paper is quite frequently considered a classical paper of the early days of control theory. Here governors refer to the governor or the centrifugal governor used in steam engines.
Maxwell was ranked 24th on Michael H. Hart's list of the most influential figures in history and 91st on the BBC poll of the 100 Greatest Britons. His name is honoured in a number of ways:
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