Dynamical phase transitions in totally asymmetric simple exclusion processes with two types of particles under periodically driven boundary conditions
Date
2016Source Title
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Electronic ISSN
2470-0053
Publisher
American Physical Society
Volume
93
Issue
1
Pages
012123-1 - 012123-7
Language
English
Type
ArticleItem Usage Stats
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Abstract
Driven diffusive systems have provided simple models for nonequilibrium systems with nontrivial structures. Steady-state behavior of these systems with constant boundary conditions have been studied extensively. Comparatively less work has been carried out on the responses of these systems to time-dependent parameters. We report the modifications to the probability density function of a two-particle exclusion model in response to a periodically changing perturbation to its boundary conditions. The changes in the shape of the distribution as a function of the frequency of the perturbation contains considerable structure. A dynamical phase transition in which the system response changes abruptly as a function of perturbation frequency was observed. We interpret this structure to be a consequence of the existence of a typical time scale associated with the dynamics of density shock profiles within the system.
Keywords
Boundary conditionsDriven diffusive systems
Dynamical phase transition
Nonequilibrium system
Nontrivial structure
Perturbation frequency
Steady-state behaviors
Time dependent parameter
Totally asymmetric simple exclusion process
Probability density function