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The Fokker-Planck Approximation

  • Wilhelm Brenig

Abstract

Often one calls kinetic differential equations that are first order in time and second order in some other variable Fokker-Planck equations [36.1,2]. We are going to consider the Fokker-Planck equation in a more restricted sense as an approximation for the collision term.

Keywords

Transport Equation Diffusion Equation Moment Method Drift Term Collision Term 
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References

  1. 36.1
    Fokker, AX,.: Ann. Phys. (Leipzig) 43, 810 (1914) Planck, M.: Sitzungsber. Preuss. Akad. Wiss. p. 324 (1917)ADSGoogle Scholar
  2. 36.2
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  4. 36.4
    Risken, H.: The Fokker-Planck Equation, 2nd ed., Springer Ser. Synergetics, Vol. 18 ( Springer, Berlin, Heidelberg 1989 )zbMATHCrossRefGoogle Scholar
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    Kramers, H.A.: Physica 7, 284 (1940)MathSciNetADSzbMATHCrossRefGoogle Scholar
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    Pawula, RF.: Phys. Rev. 162, 186 (1967)ADSCrossRefGoogle Scholar
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    Risken, H., Vollmer, HD.: Z. Phys. B 35, 313 (1979)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Wilhelm Brenig
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarchingFed. Rep. of Germany

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