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Statistics of the Compression Ratio of a Variable-to-Variable Code: Exact Moments and Asymptotic Behavior. [PDF]
Entropy (Basel)Merhav N.
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Efficient Stochastic Trace Generation for Transcription ⋆
Ferdowsi A, Függer M, Nowak T.
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Fluctuation theorem: A critical review
Chaos, 2017 Fluctuation theorem for entropy production is revisited in the framework of stochastic processes. The applicability of the fluctuation theorem to physico-chemical systems and the resulting stochastic thermodynamics were analyzed. Some unexpected limitations are highlighted in the context of jump Markov processes.
Florence Baras, M Malek Mansour
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The Fluctuation Theorem as a Gibbs Property [PDF]
Journal of Statistical Physics, 1999 Common ground to recent studies exploiting relations between dynamical systems and non-equilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied on the level of space-time histories. The assumptions (chaoticity principle) underlying the Gallavotti-Cohen fluctuation theorem make it possible, using symbolic dynamics, to ...
Christian Maes
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A Differential Fluctuation Theorem
The Journal of Physical Chemistry B, 2008We derive a nonequilibrium thermodynamics identity (the "differential fluctuation theorem") that connects forward and reverse joint probabilities of nonequilibrium work and of arbitrary generalized coordinates corresponding to states of interest. This identity allows us to estimate the free energy difference between domains of these states. Our results
Paul, Maragakis +2 more
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Derivation of the Fluctuation-Dissipation Theorem
Physical Review, 1958A simple derivation is given of the fluctuation-dissipation theorem or generalized Nyquist formula. The proof is based on a solution of the Langevin equation for a thermodynamic variable according to Ornstein's method; in this way the correlation function and the spectrum are obtained directly in the desired form.
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Fluctuation theorem for nonequilibrium reactions
The Journal of Chemical Physics, 2004A fluctuation theorem is derived for stochastic nonequilibrium reactions ruled by the chemical master equation. The theorem is expressed in terms of the generating and large-deviation functions characterizing the fluctuations of a quantity which measures the loss of detailed balance out of thermodynamic equilibrium.
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Quantum Fluctuation Theorems beyond Two-Point Measurements
Physical Review Letters, 2020Gabriel T. Landi +2 more
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Fluctuation theorems and thermodynamic uncertainty relations
Physical Review E, 2022Gianluca Francica
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