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Nonequilibrium Statistical Operator for Systems of Finite Size

2011/11/16 by V. V. Ryazanov, Ryazanov, V. V.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1111.3840

29 pages

arxiv created 2011/11/16 · openalex publication_date 2011/11/16 · arxiv updated 2011/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The lifetime of statistical system is introduced. It is supposed that the nonequilibrium statistical operator implicitly contains the lifetime. The operations of taking of invariant part, averaging on initial conditions used in works of D.N. Zubarev, temporary coarse-graining (Kirkwood), choose of the direction of time are replaced by averaging on lifetime distribution. The expression for lifetime change at transitions from quasi-equilibrium system to nonequilibrium one is derived. A sort of the nonequilibrium statistical operator for systems of the finite sizes is suggested.

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