Volume 126, Number 1, April 2019
|Number of page(s)||6|
|Published online||20 May 2019|
Non-Markovian effects on overdamped systems
1 Departamento de Física, PUC-Rio - Rio de Janeiro, Brazil
2 National Institute for Science and Technology - Complex Systems - Brazil
Received: 4 February 2019
Accepted: 9 April 2019
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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 02.50.-r – Probability theory, stochastic processes, and statistics / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EPLA, 2019
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