Diffusion and mobility and generalized Einstein relation

Áurea Rosas Vasconcellos, Roberto Luzzi and Leopoldo S. García-Colin

Physica A: Statistical Mechanics and its Applications, 1995, vol. 221, issue 4, 495-510

Abstract: The general response theory to thermal perturbations presented in the preceding paper is applied to a simple model. We obtain the evolution equation for the particle density, which becomes of the form of a propagating wave with a damping dependent on the diffusion coefficient. The latter is calculated at the microscopic level. For a charged system we also determine the mobility coefficient for arbitrarily intense electric fields, obtaining a generalized Ohm's law for nonlinear charge transport. Using the expressions for both transport coefficients we derive the Einstein relation in the nonlinear nonequilibrium thermodynamic state of the system.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:221:y:1995:i:4:p:495-510

DOI: 10.1016/0378-4371(95)00164-6

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