Random walks of intermittently self-propelled particles

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run state and a turn state, in which self-propulsion is absent. The durations of these mo...

Full description

Saved in:
Bibliographic Details
Main Authors: Agniva Datta, Carsten Beta, Robert Großmann
Format: Article
Language:English
Published: American Physical Society 2024-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.043281
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846119942148063232
author Agniva Datta
Carsten Beta
Robert Großmann
author_facet Agniva Datta
Carsten Beta
Robert Großmann
author_sort Agniva Datta
collection DOAJ
description Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run state and a turn state, in which self-propulsion is absent. The durations of these motility modes are drawn from arbitrary waiting-time distributions. We derive the expressions for exact forms of transport characteristics like mean-square displacements and diffusion coefficients to describe such processes. Furthermore, the conditions for the emergence of sub- and superdiffusion in the long-time limit are presented. We give examples of some important processes that occur as limiting cases of our system, including run-and-tumble motion of bacteria, Lévy walks, hop-and-trap dynamics, intermittent diffusion and continuous-time random walks.
format Article
id doaj-art-ae3dae49080b4ab0a9fa59e4a643c81c
institution Kabale University
issn 2643-1564
language English
publishDate 2024-12-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-ae3dae49080b4ab0a9fa59e4a643c81c2024-12-16T15:01:03ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404328110.1103/PhysRevResearch.6.043281Random walks of intermittently self-propelled particlesAgniva DattaCarsten BetaRobert GroßmannMotivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run state and a turn state, in which self-propulsion is absent. The durations of these motility modes are drawn from arbitrary waiting-time distributions. We derive the expressions for exact forms of transport characteristics like mean-square displacements and diffusion coefficients to describe such processes. Furthermore, the conditions for the emergence of sub- and superdiffusion in the long-time limit are presented. We give examples of some important processes that occur as limiting cases of our system, including run-and-tumble motion of bacteria, Lévy walks, hop-and-trap dynamics, intermittent diffusion and continuous-time random walks.http://doi.org/10.1103/PhysRevResearch.6.043281
spellingShingle Agniva Datta
Carsten Beta
Robert Großmann
Random walks of intermittently self-propelled particles
Physical Review Research
title Random walks of intermittently self-propelled particles
title_full Random walks of intermittently self-propelled particles
title_fullStr Random walks of intermittently self-propelled particles
title_full_unstemmed Random walks of intermittently self-propelled particles
title_short Random walks of intermittently self-propelled particles
title_sort random walks of intermittently self propelled particles
url http://doi.org/10.1103/PhysRevResearch.6.043281
work_keys_str_mv AT agnivadatta randomwalksofintermittentlyselfpropelledparticles
AT carstenbeta randomwalksofintermittentlyselfpropelledparticles
AT robertgroßmann randomwalksofintermittentlyselfpropelledparticles