Hyper-Ballistic Superdiffusion of Competing Microswimmers-Reference-Cited by-同舟云学术

Hyper-Ballistic Superdiffusion of Competing Microswimmers

Published:2024-03-21 Issue:3 Volume:26 Page:274
ISSN:1099-4300
Container-title:Entropy
language:en
Short-container-title:Entropy

Author:

Olsen Kristian Stølevik¹²^ORCID,Hansen Alex³^ORCID,Flekkøy Eirik Grude⁴⁵^ORCID

Affiliation:

1. Institut für Theoretische Physik II—Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany

2. Nordita, Royal Institute of Technology and Stockholm University, Hannes Alfvéns väg 12, 23, SE-106 91 Stockholm, Sweden

3. PoreLab, Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

4. PoreLab, The Njord Centre, Department of Physics, University of Oslo, NO-0316 Oslo, Norway

5. PoreLab, Department of Chemistry, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

Abstract

Hyper-ballistic diffusion is shown to arise from a simple model of microswimmers moving through a porous media while competing for resources. By using a mean-field model where swimmers interact through the local concentration, we show that a non-linear Fokker–Planck equation arises. The solution exhibits hyper-ballistic superdiffusive motion, with a diffusion exponent of four. A microscopic simulation strategy is proposed, which shows excellent agreement with theoretical analysis.

Funder

The Research Council of Norway

Deutsche Forschungsgemeinschaft

Publisher

MDPI AG

Link

https://www.mdpi.com/1099-4300/26/3/274/pdf

Reference56 articles.

1. Active particles in complex and crowded environments;Bechinger;Rev. Mod. Phys.,2016

2. Dispersion resulting from flow through spatially periodic porous media;Brenner;Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Sci.,1980

3. Hydrodynamics of soft active matter;Marchetti;Rev. Mod. Phys.,2013

4. Effective temperature of active matter;Loi;Phys. Rev. E,2008

5. Transport and dispersion of active particles in periodic porous media;Chakrabarti;Phys. Rev. Fluids,2019