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arXiv · 1710.07139

Dynamical phase transitions in the current distribution of driven diffusive channels

Yongjoo Baek·Yariv Kafri·Vivien Lecomte
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Abstract

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by deriving Landau theories. First-order transitions occur in the absence of a particle-hole symmetry, while second-order occur in its presence and are associated with a symmetry breaking. The analysis is done in two distinct statistical ensembles, shedding light on previous results. In addition, we also provide an exact solution of a model exhibiting a second-order symmetry-breaking transition.

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Yongjoo Baek, Yariv Kafri, Vivien Lecomte. 2017-10-19. Dynamical phase transitions in the current distribution of driven diffusive channels. https://doi.org/10.1088/1751-8121%2Faaa8f9

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