Simulating a Brownian type of motion: The rescaling-velocity approach versus the Langevin approach

E. Barkai*, V. Fleurov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The dynamics of a classical test particle that evolves deterministically in a potential field and whose velocity is then randomized at regular intervals of time is discussed. A limiting procedure for this type of Brownian type of motion is given, which results in a motion like that described by the Langevin equation. Exact analytical solutions for free and harmonically bound particle, are obtained. It is shown that if the time intervals between randomizing events coincide with the period of harmonic oscillations, thermal equilibrium is not reached. For anharmonic background potentials such as a resonant behavior also shows up as a slowing down of the relaxation.

Original languageEnglish
Pages (from-to)137-147
Number of pages11
JournalPhysical Review E
Volume52
Issue number1
DOIs
StatePublished - 1995

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