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
Electronic ISSN
Publisher
American Physical Society
Volume
84
Issue
1
Pages
11121 - 11121
Language
English
Type
Article
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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
Published Version (Please cite this version)