Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics

Abstract

A family of non-equilibrium statistical operators is introduced which differ by the system age distribution over which the quasi-equilibrium (relevant) distribution is averaged. To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. Superstatistics, introduced in works of Beck and Cohen [Physica A \textbf{322}, (2003), 267] as fluctuating quantities of intensive thermodynamical parameters, are obtained from the statistical distribution of lifetime (random time to the system degeneracy) considered as a thermodynamical parameter. It is suggested to set the mixing distribution of the fluctuating parameter in the superstatistics theory in the form of the piecewise continuous functions. The distribution of lifetime in such systems has different form on the different stages of evolution of the system. The account of the past stages of the evolution of a system can have a substantial impact on the non-equilibrium behaviour of the system in a present time moment.

18 pages

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Cited by in corpus (6)

• Electrical conductivity of charged particle systems and the Zubarev NSO method
• First passage time and change of entropy
• Investigation of radiation-enhanced diffusion using first-passage time
• Nonequilibrium thermodynamics with thermodynamic parameter of lifetime of system. II. Possibilities of increase lifetime
• Nonequilibrium thermodynmics with thermodynamic parameter of lifetime of system. I
• Non-equilibrium thermodynamics with first-passage time of states as independent thermodynamic parameter