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On a derivation of the Fokker-Planck equation for a system weakly interacting with the heat bath

Author

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  • Fedyanin, V.K.
  • Gavrilenko, G.M.

Abstract

The problem of deriving the Fokker-Planck equation describing the time-evolution of a single-particle system under the influence of a “large system” is investigated. The projection operator formalism is used for this purpose. The general equation for the time-evolution and the equations for a specific model system are obtained. The Markovian limit of this stochastic process is also investigated.

Suggested Citation

  • Fedyanin, V.K. & Gavrilenko, G.M., 1979. "On a derivation of the Fokker-Planck equation for a system weakly interacting with the heat bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 34-46.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:34-46
    DOI: 10.1016/0378-4371(79)90123-7
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    Cited by:

    1. Fedyanin, V.K. & Gavrilenko, G.M. & Mihalache, D., 1981. "Fokker-Planck equation for the description of the thermalization of beams of energetic charged particles channeled through crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(1), pages 305-316.
    2. Gavrilenko, G.M. & Fedyanin, V.K., 1981. "Stochastic processes in channelling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 229-244.
    3. Rudyak, Valeri & Ershov, Igor, 1995. "Kinetic equations of interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(3), pages 351-360.

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