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Fokker-Planck equation for the description of the thermalization of beams of energetic charged particles channeled through crystal

Author

Listed:
  • Fedyanin, V.K.
  • Gavrilenko, G.M.
  • Mihalache, D.

Abstract

A Fokker-Planck-type equation is derived in the second order perturbation theory for the density matrix, which describes the time evolution of a single-particle system (proton or ion) weakly interacting with a large system (crystal). This equation is suitable for the description of the motion of fast particles channeled through crystals.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:109:y:1981:i:1:p:305-316
    DOI: 10.1016/0378-4371(81)90052-2
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    References listed on IDEAS

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    1. 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.
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    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.

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