Brownian Motion (Oscillator)

  • Wilhelm Brenig


A second simple and important example is the Brownian motion of a harmonic oscillator [5.1–3]. Calling the displacement of the oscillator from its equilibrium position (X 0 = 0) X(t), one obtains the equation of motion in the presence of an external force f e
$$m\left( {\ddot X + \omega _0^2X + \gamma X} \right) = {f^e}\left( t \right).$$


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  1. 5.1
    Martin, P.C.: Measurements and Correlation Functions (Gordon and Breach, New York 1968) Chap. 1Google Scholar
  2. 5.2
    Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II, Springer Ser. Solid-State Sci., Vol. 31 (Springer, Berlin, Heidelberg 1985) Chap. 1Google Scholar
  3. 5.3
    Chandrasekhar, S.: Rev. Mod. Phys. 15, 1 (1943)MathSciNetADSzbMATHCrossRefGoogle 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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