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Brownian motion in a quantizing magnetic field

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  • Das, Amal K.

Abstract

A model previously discussed by the author to study Brownian motion of charged carriers in a quantizing magnetic field is extended to include a Landau level-dependent friction parameter. A phase-space Fokker-Planck equation is used to derive a generalized diffusion equation describing spatial diffusion of the carriers, coupled with random jumps between adjacent Landau levels. This partial differential-difference equation is solved analytically. The longitudinal “global” diffusion coefficient is calculated and shown to be enhanced over the value in the extreme quantum limit.

Suggested Citation

  • Das, Amal K., 1982. "Brownian motion in a quantizing magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 489-500.
    • Handle: RePEc:eee:phsmap:v:110:y:1982:i:3:p:489-500
    DOI: 10.1016/0378-4371(82)90064-4
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