Statistical properties of disordered driven lattice gases with open boundaries
Statistical properties of disordered driven lattice gases with open boundaries
We investigate driven lattice gases with open boundary conditions in presence of randomly distributed defect sites with reduced hopping rate 1. These systems can be used as models for intracellular transport systems impurified by immobile blocking molecules. In contrast to equilibrium, even macroscopic quantities in disordered non-equilibrium systems depend sensitively on the defect sample. We show that the leading behaviour in the disordered system is determined by the longest stretch of consecutive defect sites. Using results from extreme value statistics 2 this single-bottleneck approximation gives accurate results for the expectation values of the maximum current at small defect densities. Corrections from bottleneck interactions can be taken into account systematically by a perturbative expansion.
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Schadschneider, Andreas
0d373623-9b5e-4c8a-874f-a620bf7a34f6
2009
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Schadschneider, Andreas
0d373623-9b5e-4c8a-874f-a620bf7a34f6
Greulich, Philip and Schadschneider, Andreas
(2009)
Statistical properties of disordered driven lattice gases with open boundaries.
Appert-Rolland, C, Chevoir, F, Gondret, P, Lassarre, S, Lebacque, JP and Schreckenberg, M
(eds.)
In Traffic and Granular Flow ’07.
Springer..
(doi:10.1007/978-3-540-77074-9_31).
Record type:
Conference or Workshop Item
(Paper)
Abstract
We investigate driven lattice gases with open boundary conditions in presence of randomly distributed defect sites with reduced hopping rate 1. These systems can be used as models for intracellular transport systems impurified by immobile blocking molecules. In contrast to equilibrium, even macroscopic quantities in disordered non-equilibrium systems depend sensitively on the defect sample. We show that the leading behaviour in the disordered system is determined by the longest stretch of consecutive defect sites. Using results from extreme value statistics 2 this single-bottleneck approximation gives accurate results for the expectation values of the maximum current at small defect densities. Corrections from bottleneck interactions can be taken into account systematically by a perturbative expansion.
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Published date: 2009
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Local EPrints ID: 479988
URI: http://eprints.soton.ac.uk/id/eprint/479988
PURE UUID: 5bb01b8b-0116-4e1a-91ea-1899af2dcd4f
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Date deposited: 31 Jul 2023 17:02
Last modified: 17 Mar 2024 03:33
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Contributors
Author:
Andreas Schadschneider
Editor:
C Appert-Rolland
Editor:
F Chevoir
Editor:
P Gondret
Editor:
S Lassarre
Editor:
JP Lebacque
Editor:
M Schreckenberg
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