Langevin memory kernel and noise from Lagrangian dynamics

Ram Brustein, Shlomo Marianer and Moshe Schwartz

Physica A: Statistical Mechanics and its Applications, 1991, vol. 175, issue 1, 47-58

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:175:y:1991:i:1:p:47-58

DOI: 10.1016/0378-4371(91)90268-H

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