Superstatistics and Lifetime

TL;DR

This paper introduces a new thermodynamic parameter called the lifetime of a system, integrating it into superstatistics to describe nonequilibrium states and generalize existing statistical distributions.

Contribution

It proposes a novel approach by incorporating system lifetime as a thermodynamic parameter into superstatistics, extending the framework to describe nonequilibrium states.

Findings

Distribution reduces to Gibbs or superstatistics depending on dissipativity.

Derived distribution aligns with known statistical distributions under specific conditions.

Established a condition linking lifetime with stochastic models for equilibrium systems.

Abstract

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a system by specifying the stochastic processes are written. Superstatistics, introduced in [1] 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). Necessary for this realization condition with expression for average lifetime of equilibrium statistical system obtained from stochastical storage model [25] is consist. The obtained distribution passes in Gibbs or in superstatistics distribution depending on a measure of dissipativity in the system.