Fluctuation theorems for stochastic dynamics
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TLDR
Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium as mentioned in this paper, and a wide variety of distinct, but interconnected, relations have been derived and investigated theoretically and experimentally.Abstract:
Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived and investigated theoretically and experimentally. Significantly, we demonstrate, in the context of Markovian stochastic dynamics, how these different fluctuation theorems arise from a simple fundamental time-reversal symmetry of a certain class of observables. Appealing to the notion of Gibbs entropy allows for a microscopic definition of entropy production in terms of these observables. We work with the master equation approach, which leads to a mathematically straightforward proof and provides direct insight into the probabilistic meaning of the quantities involved. Finally, we point to some experiments that elucidate the practical significance of fluctuation relations.read more
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The large deviation approach to statistical mechanics
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Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
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The large deviation approach to statistical mechanics
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Thermodynamics of information
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References
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Phase Transitions and Critical Phenomena
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Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
TL;DR: A generalized version of the fluctuation theorem is derived for stochastic, microscopically reversible dynamics and this generalized theorem provides a succinct proof of the nonequilibrium work relation.
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