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Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems

By Ohad Shpielberg

Abstract

Dynamical phase transitions are defined as non-analytic points of the large deviation function of current fluctuations. We show that for boundary driven systems, many dynamical phase transitions can be identified using the geometrical structure of an effective potential of a Hamiltonian, recovered from the macroscopic fluctuation theory description. Using this method we identify new dynamical phase transitions that could not be recovered using existing perturbative methods. Moreover, using the Hamiltonian picture, an experimental scheme is suggested to demonstrate an analog of dynamical phase transitions in linear, rather than exponential, time.Comment: 9 pages, 5 figure

Topics: Condensed Matter - Statistical Mechanics
Year: 2017
DOI identifier: 10.1103/PhysRevE.96.062108
OAI identifier: oai:arXiv.org:1706.04126
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