Nonlinear response theory: Transport coefficients for driving fields of arbitrary magnitude
- 1 November 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 56 (5) , 5295-5305
- https://doi.org/10.1103/physreve.56.5295
Abstract
A theory of nonlinear response is developed for driving fields of arbitrary magnitude. Exact and usable expressions are provided for electrical and thermal mobility, and related transport coefficients, in terms of correlation functions of the system. A generalization into the nonlinear domain is provided of the Wiedemann-Franz law connecting electrical and thermal response and of the Einstein relation relating the diffusion constant and the mobility.Keywords
This publication has 7 references indexed in Scilit:
- Charge-Dipole Model for the Universal Field Dependence of Mobilities in Molecularly Doped PolymersPhysical Review Letters, 1996
- Stochastic derivation of the switching function in the theory of microwave heating of ceramic materialsPhysical Review B, 1992
- Velocity and diffusion constant of a periodic one-dimensional hopping modelJournal of Statistical Physics, 1983
- Equations for the Theory of Response and Transport in Statistical MechanicsPhysical Review A, 1973
- Formal Theory of Nonlinear ResponseReviews of Modern Physics, 1967
- Generalized Mobility TheoryPhysical Review B, 1958
- Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction ProblemsJournal of the Physics Society Japan, 1957