On the derivation of the Debye theory of dielectric relaxation from the Langevin equation in the presence of the driving field
- 1 July 1990
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 93 (1) , 724-729
- https://doi.org/10.1063/1.459522
Abstract
It is shown how the Debye results for the behavior of an assembly of dipoles subjected to step‐on, step‐off, and ac fields which are usually obtained by calculating the linear response from the Smoluchowski equation may also be obtained from the Langevin equation by using a transformation of that equation suggested by Frood and Lal. This transformation allows one to calculate the linear response from the Langevin equation even in the presence of a driving field.Keywords
This publication has 7 references indexed in Scilit:
- Inertial effects in the theory of dielectric and Kerr effect relaxation of an assembly of non-interacting polar molecules in strong alternating fieldsChemical Physics, 1988
- Thermal activation in extremely underdamped Josephson-junction circuitsPhysical Review B, 1983
- Relaxation Processes and Inertial Effects I: Free Rotation about a Fixed AxisProceedings of the Physical Society. Section B, 1957
- Inertial Effects and Dielectric RelaxationThe Journal of Chemical Physics, 1955
- On the Theory of the Brownian Motion IIReviews of Modern Physics, 1945
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Electric Moments of Molecules in LiquidsJournal of the American Chemical Society, 1936