Condensed Matter Physics, 2006, vol. 9, No. 1(45), p. 71-80, English
DOI:10.5488/CMP.9.1.71
Title:
First-passage time: a conception leading to superstatistics
Author(s):
 
| V.V.Ryazanov
(Institute for Nuclear Research, Pr. Nauki, 47, 03068, Kiev, Ukraine)
,
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| S.G.Shpyrko
(Institute for Nuclear Research, Pr. Nauki, 47, 03068, Kiev, Ukraine)
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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).
Key words: stationary states, stochastic processes,
noncanonical distributions, slow dynamics and aging
PACS: 05.70.Ln, 05.40.-a, 05.10.Gg, 05.20.Gg
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