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Fokker-Planck equation for a periodic potential

Author

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  • Das, Amal K.
  • Schwendimann, P.

Abstract

The Fokker-Planck equation in one dimension has been solved for a system in a periodic potential and linearly perturbed by a time- and space- varying external electric field. The solution is not exact, but we believe it is less approximate than any attempted previously on this problem. We have calculated the frequency and wave-vector dependent mobility and discussed its behaviour in some limiting cases.

Suggested Citation

  • Das, Amal K. & Schwendimann, P., 1977. "Fokker-Planck equation for a periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(3), pages 605-612.
    • Handle: RePEc:eee:phsmap:v:89:y:1977:i:3:p:605-612
    DOI: 10.1016/0378-4371(77)90085-1
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    Cited by:

    1. Das, Amal K., 1979. "Stochastic diffusion in a periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 528-544.
    2. Weaver, D.L., 1979. "Effective diffusion coefficient of a Brownian particle in a periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 359-362.

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