Entropic fluctuations in Gaussian dynamical systems

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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Vojkan Jaksic, Claude-Alain Pillet, Armen Shirikyan. Entropic fluctuations in Gaussian dynamical systems. Reports on Mathematical Physics, Elsevier, 2016, 77 (3), pp.265-416. ⟨http://www.sciencedirect.com/science/journal/00344877/77/3⟩. ⟨hal-01196999⟩

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