Condensed Matter Physics, 2006, vol. 9, No. 1(45), p. 71-80, English

Title: First-passage time: a conception leading to superstatistics
  V.V.Ryazanov (Institute for Nuclear Research, Pr. Nauki, 47, 03068, Kiev, Ukraine) ,
  S.G.Shpyrko (Institute for Nuclear Research, Pr. Nauki, 47, 03068, Kiev, Ukraine)

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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