Brownian particles driven by spatially periodic noise

Breoni, Davide; Blossey, Ralf; Löwen, Hartmut

Document type :

Article dans une revue scientifique

DOI :

10.1140/epje/s10189-022-00176-4

Permalink :

http://hdl.handle.net/20.500.12210/79008

Title :

Brownian particles driven by spatially periodic noise

Author(s) :

Breoni, Davide [Auteur]
Blossey, Ralf [Auteur]

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Löwen, Hartmut [Auteur]

Journal title :

The European Physical Journal E

Abbreviated title :

Eur. Phys. J. E

Volume number :

Publisher :

Springer Science and Business Media LLC

Publication date :

2022-03

HAL domain(s) :

Sciences du Vivant [q-bio]

English abstract : [en]

Abstract We discuss the dynamics of a Brownian particle under the influence of a spatially periodic noise strength in one dimension using analytical theory and computer simulations. In the absence of a ...
Show more >Abstract We discuss the dynamics of a Brownian particle under the influence of a spatially periodic noise strength in one dimension using analytical theory and computer simulations. In the absence of a deterministic force, the Langevin equation can be integrated formally exactly. We determine the short- and long-time behaviour of the mean displacement (MD) and mean-squared displacement (MSD). In particular, we find a very slow dynamics for the mean displacement, scaling as $$t^{-1/2}$$ t - 1 / 2 with time t. Placed under an additional external periodic force near the critical tilt value we compute the stationary current obtained from the corresponding Fokker–Planck equation and identify an essential singularity if the minimum of the noise strength is zero. Finally, in order to further elucidate the effect of the random periodic driving on the diffusion process, we introduce a phase factor in the spatial noise with respect to the external periodic force and identify the value of the phase shift for which the random force exerts its strongest effect on the long-time drift velocity and diffusion coefficient Graphical AbstractShow less >

Language :

Anglais

Audience :

Non spécifiée

Administrative institution(s) :

Université de Lille
CNRS

Collections :

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576

Research team(s) :

Computational Molecular Systems Biology

Submission date :

2023-01-11T10:29:09Z

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Brownian particles driven by spatially ...

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