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Numerical study of continuous and discontinuous dynamical phase transitions for boundary-driven systems

Ohad Shpielberg1,2,*, Yaroslav Don2, and Eric Akkermans2

  • 1Laboratoire de Physique Théorique, École Normale Supérieure and CNRS, 75005 Paris, France
  • 2Physics Department, Technion–Israel Institute of Technology, 3200003 Haifa, Israel

  • *ohad.shpielberg@lpt.ens.fr
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Phys. Rev. E 95, 032137 – Published 24 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032137

Abstract

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary-driven systems with a constrained integrated current. It is shown that certain models exhibit a discontinuous transition between two different density profiles and a continuous transition between a time-independent and a time-dependent profile. We also verified that the Kipnis-Marchioro-Presutti model exhibits no phase transitions in a range much larger than previously explored.

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Phys. Rev. E 95, 032137– Published 24 March, 2017
  • Received 5 January 2017

©2017 American Physical Society

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