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Entropic fluctuations in Gaussian dynamical systems (1509.03244v1)
Published 10 Sep 2015 in math-ph, math.DS, math.MP, and math.PR
Abstract: We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy production observable with respect to the reference state and the non-equilibrium steady state. The entropy production observable of this model is an unbounded function on the phase space, and its large deviation functionals have a surprisingly rich structure. We explore this structure in some detail.
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