Entropic Fluctuations in Gaussian Dynamical Systems

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• 作者：V. Jak&scaron ; ić ^{jaksic@math.mcgill.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：nonequilibrium statistical mechanics ; entropy production ; Gallavotti&ndash ; Cohen symmetry ; fluctuation relations ; large deviations
• 刊名：Reports on Mathematical Physics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：77
• 期：3
• 页码：335-376
• 全文大小：341 K

文摘

We study nonequilibrium 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 nonequilibrium 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.