Active noise-driven particles under ...
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Title :
Active noise-driven particles under space-dependent friction in one dimension
Author(s) :
Breoni, D. [Auteur]
Löwen, H. [Auteur]
Blossey, Ralf [Auteur]
Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Löwen, H. [Auteur]
Blossey, Ralf [Auteur]

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Journal title :
Physical Review E
Abbreviated title :
Phys. Rev. E
Volume number :
103
Publisher :
American Physical Society (APS)
Publication date :
2021-05-04
ISSN :
2470-0045
HAL domain(s) :
Sciences du Vivant [q-bio]
English abstract : [en]
We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate x, which is simultaneously exposed to a space-dependent friction coefficient γ(x), a confining potential U(x) and ...
Show more >We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate x, which is simultaneously exposed to a space-dependent friction coefficient γ(x), a confining potential U(x) and nonequilibrium (i.e., active) noise. Specifically, we consider frictions γ(x)=γ0+γ1|x|p and potentials U(x)∝|x|n with exponents p=1,2 and n=0,1,2. We provide analytical and numerical results for the particle dynamics for short times and the stationary probability density functions (PDFs) for long times. The short-time behavior displays diffusive and ballistic regimes while the stationary PDFs display unique characteristic features depending on the exponent values (p,n). The PDFs interpolate between Laplacian, Gaussian, and bimodal distributions, whereby a change between these different behaviors can be achieved by a tuning of the friction strengths ratio γ0/γ1. Our model is relevant for molecular motors moving on a one-dimensional track and can also be realized for confined self-propelled colloidal particles.Show less >
Show more >We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate x, which is simultaneously exposed to a space-dependent friction coefficient γ(x), a confining potential U(x) and nonequilibrium (i.e., active) noise. Specifically, we consider frictions γ(x)=γ0+γ1|x|p and potentials U(x)∝|x|n with exponents p=1,2 and n=0,1,2. We provide analytical and numerical results for the particle dynamics for short times and the stationary probability density functions (PDFs) for long times. The short-time behavior displays diffusive and ballistic regimes while the stationary PDFs display unique characteristic features depending on the exponent values (p,n). The PDFs interpolate between Laplacian, Gaussian, and bimodal distributions, whereby a change between these different behaviors can be achieved by a tuning of the friction strengths ratio γ0/γ1. Our model is relevant for molecular motors moving on a one-dimensional track and can also be realized for confined self-propelled colloidal particles.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
Administrative institution(s) :
Université de Lille
CNRS
CNRS
Research team(s) :
Computational Molecular Systems Biology
Submission date :
2022-01-24T10:16:23Z
2022-01-24T11:09:52Z
2022-01-24T11:09:52Z
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