Non-Markovian effects on overdamped systems

We study the consequences of adopting the memory-dependent, non-Markovian, physics with the memory-less overdamped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with the noise, the stationary behavior of the system is not descri...

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Bibliographic Details
Published in:Europhysics letters 2019-04, Vol.126 (1), p.10002
Main Authors: Nascimento, E. S., Morgado, W. A. M.
Format: Article
Language:English
Subjects:
02.50.-r
05.10.Gg
05.70.Ln
White noise
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Summary:We study the consequences of adopting the memory-dependent, non-Markovian, physics with the memory-less overdamped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with the noise, the stationary behavior of the system is not described by the Boltzmann-Gibbs statistics. However, the presence of a very weak external white noise can be used to regularize the equilibrium properties. Surprisingly, the coupling to another bath effectively restores the dynamical aspects missed by the overdamped treatment.
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/126/10002