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

Soto, R.; Golestanian, Ramin

doi:10.1103/PhysRevE.89.012706

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

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Golestanian, Ramin
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Soto, R., & Golestanian, R. (2014). Run-and-tumble dynamics in a crowded environment: Persistent exclusion process for swimmers. Physical Review E, 89(1): 012706. doi:10.1103/PhysRevE.89.012706.

Cite as: https://hdl.handle.net/21.11116/0000-0001-7701-8

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.