Chaotic Hypothesis, Fluctuation Theorem and Singularities
نویسندگان
چکیده
منابع مشابه
Chaotic Hypothesis, Fluctuation Theorem and Singularities
The chaotic hypothesis has several implications which have generated interest in the literature because of their generality and because a few exact predictions are among them. However its application to Physics problems requires attention and can lead to apparent inconsistencies. In particular there are several cases that have been considered in the literature in which singularities are built i...
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Fluctuation Theorem: a simple consequence of a time reversal symmetry; it deals with motions which are chaotic in the strong mathematical sense of being hyperbolic and transitive (ie are generated by smooth hyperbolic evolutions on a smooth compact surface (the “phase space”) and with a dense trajectory, also called Anosov systems) and “furthermore are time reversible”. In such systems any init...
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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 SRB distribution on phase space providing t...
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Chaotic Hypothesis: assumes that quite generally a system exhibiting chaotic motions does so in a maximal form so that it can be supposed to be a transitive hyperbolic system. This is analogous to the assumption that a system exhibiting only non chaotic motions is an integrable system, i.e. it is as ordered as possible and it can be, quite generally, either supposed to consist of harmonic oscil...
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The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the probabilities of observing entropy-producing and entropy-consuming fluctuations measured over a finite volume and time span in terms of the rate of entropy product...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9047-5