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Physics Conferences 7th KIAS Conference on Statistical Physics
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[Talk 4] Dynamical symmetry breaking in boundary-driven diffusive systems carrying atypical currents
SPEAKER  |  Yongjoo Baek
INSTITUTE  |  Technion, Israel
DATE  |  July 4(Mon), 2016
TIME  |  11:20
PLACE  |  Korea Institute for Advanced Study (KIAS), Seoul, Korea
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ABSTRACT  |  The probability of observing a sustained atypical current J is encoded in its large deviation function (LDF). For a given value of J, there often exists a corresponding optimal density profile. Here we show that for a large class of boundary-driven diffusive systems the current LDF exhibits a singularity at a certain threshold J =Jc. Depending on the model, the singularity is associated either with a symmetry breaking in the optimal profile or a first-order jump from one profile to another, both of which are shown to be described by a Landau theory. Specific microscopic models exhibiting such singularities will be discussed.
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