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Diffusion and mobility and generalized Einstein relation

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

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.

Suggested Citation

  • Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Diffusion and mobility and generalized Einstein relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 495-510.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:4:p:495-510
    DOI: 10.1016/0378-4371(95)00164-6
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    1. Vasconcellos, Áurea R. & Luzzi, Roberto & Jou, David & Casas-Vazquez, José, 1994. "Thermal waves in an extended hydrodynamic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 369-381.
    2. Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Response function theory for thermal perturbations in informational statistical thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 478-494.
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    1. Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Response function theory for thermal perturbations in informational statistical thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 478-494.

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