Brownian particles driven by spatially periodic noise

Breoni, Davide; Blossey, Ralf; Löwen, Hartmut; Breoni, Davide

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1140/epje/s10189-022-00176-4

URL permanente :

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

Titre :

Brownian particles driven by spatially periodic noise

Auteur(s) :

Breoni, Davide [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Blossey, Ralf [Auteur]

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Löwen, Hartmut [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Breoni, Davide [Auteur]

Titre de la revue :

The European Physical Journal E

Nom court de la revue :

Eur. Phys. J. E

Numéro :

Éditeur :

Springer Science and Business Media LLC

Date de publication :

2022-03

ISSN :

2190-5444

Discipline(s) HAL :

Chimie/Chimie théorique et/ou physique

Résumé en anglais : [en]

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 ...
Lire la suite >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 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 coefficientLire moins >

Langue :

Anglais

Audience :

Internationale

Vulgarisation :

Non

Établissement(s) :

Université de Lille
CNRS

Collections :

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

Équipe(s) de recherche :

Computational Molecular Systems Biology

Date de dépôt :

2023-01-11T10:29:09Z
2023-01-13T09:12:58Z

Fichiers

P22.38 davide-epje2022-1.pdf
Version éditeur
Accès libre
Accéder au document

Ce document est diffusé sous licence Attribution 3.0 United States

Numéro de version	Lien	Date de modification
2	20.500.12210/79008*	2023-01-13T09:10:15Z
1	20.500.12210/79008.1	2023-01-11T10:29:09Z

Brownian particles driven by spatially ...

BibTeX

CSV

Excel

RIS

Fichiers

Historique des modifications

Brownian particles driven by spatially ... BibTeX CSV Excel RIS

Fichiers

Historique des modifications

Brownian particles driven by spatially ...

BibTeX

CSV

Excel

RIS