Stroboscopic exclusion process: A first-moment–driven dynamics
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Published:2021-02-01
Issue:4
Volume:133
Page:40002
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ISSN:0295-5075
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Container-title:Europhysics Letters
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language:
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Short-container-title:EPL
Author:
Debin Bryan,Granet Etienne
Abstract
Abstract
We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities and in suitable scaling limits for space and time, we compute the time evolution of the particle density starting from an arbitrary initial configuration, with closed boundary conditions. The core of the argument is the analysis of the time evolution of the moments. Numerical results are compared with the prediction and give excellent agreement.
Subject
General Physics and Astronomy