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Brownian Motion (Oscillator)

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Book cover Statistical Theory of Heat

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Abstract

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

$$m\left( {\ddot X + \omega _0^2X + \gamma X} \right) = {f^e}\left( t \right).$$
((5.1))

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References

  1. Martin, P.C.: Measurements and Correlation Functions (Gordon and Breach, New York 1968) Chap. 1

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  2. Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II, Springer Ser. Solid-State Sci., Vol. 31 (Springer, Berlin, Heidelberg 1985) Chap. 1

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  3. Chandrasekhar, S.: Rev. Mod. Phys. 15, 1 (1943)

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Authors and Affiliations

  1. Physik-Department, Technische Universität München, James-Franck-Str., D-8046, Garching, Fed. Rep. of Germany

    Professor Dr. Wilhelm Brenig

Authors
  1. Professor Dr. Wilhelm Brenig
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© 1989 Springer-Verlag Berlin Heidelberg

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Brenig, W. (1989). Brownian Motion (Oscillator). In: Statistical Theory of Heat. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74685-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-74685-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74687-1

  • Online ISBN: 978-3-642-74685-7

  • eBook Packages: Springer Book Archive

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