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Run-and-tumble dynamics in a crowded environment: Persistent exclusion process for swimmers

Abstract:
The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate α. In stationary state, the system is found to break into dense clusters in which particles are trapped or stopped from moving. The characteristic size of these clusters predominantly scales as α-0.5 in both one and two dimensions. For a range of densities, due to cooperative effects, the stopping time scales as T1d0.85 and as T2d0.8, where Td is the diffusive time associated with the motion of cluster boundaries. Our findings might be helpful in understanding the early stages of biofilm formation. © 2014 American Physical Society.

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Publisher copy:
10.1103/PhysRevE.89.012706

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Journal:
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics More from this journal
Volume:
89
Issue:
1
Publication date:
2014-01-08
DOI:
EISSN:
1550-2376
ISSN:
1539-3755


Language:
English
Pubs id:
pubs:452636
UUID:
uuid:8c844f17-9029-46fb-a906-195a34005878
Local pid:
pubs:452636
Source identifiers:
452636
Deposit date:
2014-05-13

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