Run-and-tumble dynamics in a crowded environment: Persistent exclusion process for swimmers
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2014Metadata
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Soto Bertrán, Rodrigo
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Run-and-tumble dynamics in a crowded environment: Persistent exclusion process for swimmers
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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 á. 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 [alfa]-0.5 in both
one and two dimensions. For a range of densities, due to cooperative effects, the stopping time scales as T1d -0.85
and as T2d -0.8, 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.
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This research was supported by FONDECYT Grant No.
1100100 (R.S.), Anillo Grant No. ACT 127 (R.S.), and
Human Frontier Science Program Grant No. RGP0061/2013
(R.G.).
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URI: https://repositorio.uchile.cl/handle/2250/126763
DOI: DOI: 10.1103/PhysRevE.89.012706
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Physical Review E 89, 012706 (2014)
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