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If you are referring to specific particles that are different than the bulk, you are dealing with it being "dilute" or "diffuse" or "dispersed" or "scattered" In low pressure gasses, all particles are comparatively far apart.
Closer together than normal.
Different density than the first medium.
The particles in steams have more energy because the particles are far apart, move rapidly, and are constantly in motion. Particles in the ocean are not in fixed positions and do not constantly move quickly.
Sound waves need a medium to travel through, and gas particles are spread out way more than liquid particles. This allows the sound to travel faster in more dense objects
The motion of particles in gasses, liquids, and solids are all different. Gas particles can move much more quickly than solids.
If you are referring to specific particles that are different than the bulk, you are dealing with it being "dilute" or "diffuse" or "dispersed" or "scattered" In low pressure gasses, all particles are comparatively far apart.
The motion of particles in a solid are much slower than those in the gas. Gaseous particles are very energetic and highly kinetic.
Closer together than normal.
Particles in the inner rings orbit Saturn at a faster speed than particles in the outer rings.
diffusion happen because of the motion of the gas particle which they are travelling faster than the particles in solid and liquid and the different atomic mass of the gases
Random motion is a property of all particles. Brownian motion, the random redistribution of particles due to individual random motion, is possible in fluids, including gasses, liquids, and plasmas, but not in solids- the structure of solids prevents individual particles from moving out of place until they gain enough energy for their small random movements to break free. The key feature of gasses relating to motion is that the particles have an appreciable amount of space between them and can travel many times farther before encountering another gas particle than is possible in a liquid. This allows the rapid diffusion of different gasses into a homogeneous mixture.
The particles in the rings around planets move according to Kepler's Third Law. In other words, the particles closer to the planet move faster than the particles further outside.
Different density than the first medium.
The velocity at which the mechanical energy of sound moves between the particles of a medium has much to do with the density of the medium. It also has to do with how rigidly the particles of the medium are being held in place. Solids have particles that are very close to each other and are held pretty rigidly in place, so the transfer of energy will occur rapidly. In liquids, however, the particles are farther apart and not held as rigidly in place, and in gasses this is even more pronounced. This increase in particle spacing and in the rigidity of the material from medium to medium results in the slower transfer of energy from one particle to another.
The region of compression is where all the particles of the medium are closer to each other than usual. In a sound wave that usually means that the pressure in that area of compression is slightly greater than the mean pressure of the material in which the sound wave is traveling.
There are many kinds of particles and many kinds of motion, so there is more than one answer to that question. In many cases, particle motion is explained by Newtonian mechanics. In other cases, you would need quantum mechanics or Einstein's theory of relativity, or the Maxwell equations if the particles are photons.