Dissipation in a finite-size bath

Date

2011-07-18

Authors

Carcaterra, A.
Akay, A.

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Source Title

Physical Review E

Print ISSN

1539-3755

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Publisher

American Physical Society

Volume

84

Issue

1

Pages

11121 - 11121

Language

English

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Abstract

We investigate the interaction of a particle with a finite-size bath represented by a set of independent linear oscillators with frequencies that fall within a finite bandwidth. We discover that when the oscillators have particular frequency distributions, the finite-size bath behaves much as an infinite-size bath exhibiting dissipation properties and thus allowing irreversible energy absorption from a particle immersed in it. We also present a reinterpretation of the Langevin equation using a perturbation approach in which the small parameter represents the inverse of the number of oscillators in the bath, elucidating the relationship between finite-size and infinite-size bath responses.

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Keywords

Oscillators, Relaxation, System, Differential Equations, Finite Bandwidth, Frequency Distributions, Irreversible Energy, Langevin Equation, Linear Oscillator, Perturbation Approach

Citation