Wikipedia:

Debye relaxation

Debye relaxation is the dielectric relaxation response of an ideal, noninteracting population of dipoles to an alternating external electric field. It is usually expressed in the complex permittivity \varepsilon of a medium as a function of the field's frequency ω:

\hat{\varepsilon}(\omega) = \varepsilon_{\infty} + \frac{\Delta\varepsilon}{1+i\omega\tau},

where \varepsilon_{\infty} is the permittivity at the high frequency limit, \Delta\varepsilon = \varepsilon_{s}-\varepsilon_{\infty} where \varepsilon_{s} is the static, low frequency permittivity, and τ is the characteristic relaxation time of the medium.

This relaxation model was named after the chemist Peter Debye.

Variants of the Debye equation

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