On the Fluctuation Law(s) for Hamiltonian systems (with equilibrium steady state): A Comment on cond-mat/0008421

dc.creatorChirikov, Boris
dc.creatorZhirov, Oleg
dc.date2000-09-08
dc.date.accessioned2026-07-07T02:38:40Z
dc.date.available2026-07-07T02:38:40Z
dc.descriptionA generalization of the fluctuation law (FL) ("theorem"), formulated in 1993 by Evans, Cohen and Morriss for a nonequilibrium steady state, on the chaotic Hamiltonian systems with equilibrium steady state in recent publication ba Evans, Searles and Mittag (cond-mat/0008421) is briefly discussed. We argue that the physical meaning of this law, as presented in the latter publication, is qualitatively different from the original one. Namely, the original FL concerns the local (in time) fluctuations with an intriguing result: a high probability for the "violation" of the Second Law. Instead, the new law describes the global fluctuations for which this remarkable unexpected phenomenon is absent or hidden. We compare both types in both classes of Hamiltonian systems, and discuss remarkable similarities as well as the interesting distinctions.
dc.descriptionLatex, 3 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0009125
dc.identifierhttp://arxiv.org/abs/cond-mat/0009125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16755
dc.subjectStatistical Mechanics
dc.titleOn the Fluctuation Law(s) for Hamiltonian systems (with equilibrium steady state): A Comment on cond-mat/0008421
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