Langevin memory kernel and noise from Lagrangian dynamics

Ram Brustein, Shlomo Marianer, Moshe Schwartz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish
Pages (from-to)47-58
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume175
Issue number1
DOIs
StatePublished - 15 Jun 1991
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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