Brownian Motion: Langevin Equation

  • Wilhelm Brenig


As an illustration of the rather abstract results of the previous chapter we discuss a theory of Brownian motion going back to Langevin [14.1]. We consider a Brownian particle that has a momentum p(0) at time t = 0. The collisions of this particle with other particles of the heat bath will lead to random fluctuations of its momentum that cannot be predicted in detail. On the average, however, it must relax to its equilibrium value 〈p〉 = 0.


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  1. 14.1
    Langevin, P.: C.R. Acad. Sci. 146, 530 (1908)zbMATHGoogle Scholar

Additional Reading

  1. Forster, D.: Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (W.A. Benjamin, Reading, MA 1975) Chap. 6Google 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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