First-passage time: a conception leading to superstatistics

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter -- the lifetime (the first passage time) of a system. The statistical distributions that can be obtained out of the mesoscopic description characterizing the behaviour of a system by specifying the stochasti...

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Bibliographic Details
Published in:Condensed matter physics 2006, Vol.9 (1), p.71-80
Main Authors: Ryazanov, Shpyrko
Format: Article
Language:English
Subjects:
noncanonical distributions
slow dynamics and aging
stationary states
stochastic processes
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Summary:To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter -- the lifetime (the first passage time) of a system. The statistical distributions that can be obtained out of the mesoscopic description characterizing the behaviour of a system by specifying the stochastic processes are written. Superstatistics, introduced in [Beck C., Cohen E.G.D., Physica A, 2003, 322A, 267] as fluctuating quantities of intensive thermodynamical parameters, are obtained from statistical distribution with lifetime (random time to system degeneracy) as thermodynamical parameter (and also generalization of superstatistics).
ISSN:1607-324X
DOI:10.5488/CMP.9.1.71