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Phys. Rev. Lett. 100, 218103 (2008) [4 pages]

Statistical Mechanics of Interacting Run-and-Tumble Bacteria

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J. Tailleur and M. E. Cates
SUPA, School of Physics, University of Edinburgh, JCMB Kings Buildings, Edinburgh EH9 3JZ, United Kingdom

Received 7 March 2008; published 29 May 2008

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle density, we add both interactions and noise, enabling discussion of domain formation by “self-trapping,” and other collective phenomena. Mapping onto detailed-balance systems is possible in certain cases.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.218103
DOI:
10.1103/PhysRevLett.100.218103
PACS:
87.10.Mn, 05.40.−a, 87.17.Jj