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The steady state fluctuation relation for the dissipation function [PDF]
, 2007 We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient fluctuation relation
Bernhardt, Debra +13 more
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Advances in Physics, 2002 The question of how reversible microscopic equations of motion can lead to irreversible macroscopic behaviour has been one of the central issues in statistical mechanics for more than a century. The basic issues were known to Gibbs. Boltzmann conducted a very public debate with Loschmidt and others without a satisfactory resolution.
J. Evans, Denis, Bernhardt, Debra
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Fluctuation theorems: Work is not an observable [PDF]
Physical Review E, 2007 The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression is obtained for the averaged exponential work which is related to the free energy difference of equilibrium systems
Talkner, Peter +2 more
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Three Detailed Fluctuation Theorems [PDF]
Physical Review Letters, 2010 4 pages, V2: accepted in Phys. Rev. Lett. 104, 090601 (2010)
Esposito, Massimiliano +1 more
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Fluctuation-Dissipation Theorem for Event-Dominated Processes [PDF]
, 2007 Article discussing the fluctuation-dissipation theorem for event-dominated ...
Bologna, Mauro +3 more
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Relativistic fluctuation theorems [PDF]
Comptes Rendus. Physique, 2007 To reveal how nonequilibrium physics and relativity theory intertwine, this article studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy Δ s , which is locally produced in this extreme nonequilibrium situation, are presented and proven.
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Fluctuation Theorem Uncertainty Relation [PDF]
Physical Review Letters, 2019 6 pages, 2 figures; 9 pages of supplemental material with 4 ...
Yoshihiko Hasegawa, Tan Van Vu
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Fluctuation-dissipation theorem for non-equilibrium quantum systems [PDF]
Quantum, 2018 The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time correlations ...
Mohammad Mehboudi +2 more
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Fluctuation theorem and chaos [PDF]
The European Physical Journal B, 2008 The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic Hypothesis. In nonequilibrium thermodynamics of stationary states the chaotic hypothesis plays a similar role: it allows a unique determination of the probability distribution (called {
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Fluctuation Dissipation Theorem [PDF]
Physical Review, 1956 The fluctuation dissipation theorem (Nyquist formula) is shown to be exact and a number of generalizations of it are given, including a four-dimensional formulation which is useful in the quantum theory of fields. The more general theorem can be used to calculate vacuum expectation values of field operators, and to deduce covariant commutation ...
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