Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.
Touchette, The large deviation approach to statistical mechanics, Physics Reports 478, 1 (2009)
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Derives an exact response equality for Markov processes that unifies fluctuation-dissipation theorem with non-equilibrium linear response relations.
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Remarkable similarities in distributions of dynamical observables in chaotic systems
Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.
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Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium
Derives an exact response equality for Markov processes that unifies fluctuation-dissipation theorem with non-equilibrium linear response relations.