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      Dynamical phase transitions in totally asymmetric simple exclusion processes with two types of particles under periodically driven boundary conditions

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      Author(s)
      Yeşil, A.F.
      Yalabik, M.C.
      Date
      2016
      Source 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
      Article
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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 conditions
      Driven 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
      Permalink
      http://hdl.handle.net/11693/22258
      Published Version (Please cite this version)
      http://dx.doi.org/10.1103/PhysRevE.93.012123
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      • Department of Physics 2397
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