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Langevin memory kernel and noise from Lagrangian dynamics

Author

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  • Brustein, Ram
  • Marianer, Shlomo
  • Schwartz, Moshe

Abstract

The motion of a particle in a medium is studied using a Lagrangian description of the system with a realistic non-linear coupling between the particle and the medium. The force exerted on the particle by the medium is shown to consist of a damping force and noise. Under certain conditions the particle obeys a generalized Langevin equation. A systematic procedure for calculating the memory kernel and noise correlations in terms of the parameters and the noise obey a fluctuation dissipation theorem, leading to thermalization of the particle. The friction constant vanishes at T = 0.

Suggested Citation

  • Brustein, Ram & Marianer, Shlomo & Schwartz, Moshe, 1991. "Langevin memory kernel and noise from Lagrangian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 47-58.
    • Handle: RePEc:eee:phsmap:v:175:y:1991:i:1:p:47-58
    DOI: 10.1016/0378-4371(91)90268-H
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    1. Micheline Thomine-Desmazures, 1965. "L'investigation psychosociologique en milieu rural," Économie rurale, Programme National Persée, vol. 64(1), pages 19-24.
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    Cited by:

    1. Frenkel, Gad, 2015. "Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 251-261.

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