Fluctuation Theorem

The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (i.e., maximum entropy) will increase or decrease over a given amount of time. While the second law of thermodynamics predicts that the entropy of an isolated system should tend to increase until it reaches equilibrium, it became apparent after the discovery of statistical mechanics that the second law is only a statistical one, suggesting that there should always be some nonzero probability that the entropy of an isolated system might spontaneously decrease; the fluctuation theorem precisely quantifies this probability.

Read more about Fluctuation TheoremStatement of The Fluctuation Theorem, Second Law Inequality, Nonequilibrium Partition Identity, Dissipation Function, The Fluctuation Theorem and Loschmidt's Paradox, Summary

Other articles related to "fluctuation theorem, theorem, fluctuations, fluctuation":

Loschmidt's Paradox - Fluctuation Theorem
... One approach to handling Loschmidt's paradox is the fluctuation theorem, proved by Denis Evans and Debra Searles, which gives a numerical estimate of the probability that a system away from equilibrium will have a ... The theorem is proved with the exact time reversible dynamical equations of motion and the Axiom of Causality ... The fluctuation theorem is proved using the fact that dynamics is time reversible ...
Fluctuation Theorem - Summary
... The fluctuation theorem is of fundamental importance to nonequilibrium statistical mechanics ... When combined with the central limit theorem, the FT also implies the famous Green-Kubo relations for linear transport coefficients, close to equilibrium ... than the Green-Kubo Relations because unlike them, the FT applies to fluctuations far from equilibrium ...
Nonequilibrium Partition Identity - See Also
... Fluctuation theorem - Provides an equality that quantifies fluctuations in time averaged entropy production in a wide variety of nonequilibrium systems ... Crooks fluctuation theorem -Provides a Fluctuation Theorem between two equilibrium states ... Jarzynski Equality on arxiv.org "Fluctuation-Dissipation Response Theory in Statistical Physics" by Umberto Marini Bettolo Marconi, Andrea Puglisi, Lamberto Rondoni ...

Famous quotes containing the word theorem:

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)