Irreversibility in classical kinetic theory: retardation of interaction and distribution functions

2020/06/20 by В. В. Зубков, Zubkov, V. V., A.V. Zubkova +1
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical Physics (physics.class-ph) #FOS: Physical sciences #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2006.11565

openalex publication_date 2020/06/20 · openalex created_date 2020/06/25 · openalex updated_date 2026/07/28

Abstract

A kinetic equation is derived for the phase density of a system of point particles, generating a system of integro-differential equations for distribution functions that have a deterministic meaning. The derivation took into account the retardation of interactions between particles. The obtained equations describe the irreversible behavior of a system of particles without involving any probabilistic hypotheses. The use of the retarded potentials, in this case, corresponds to taking the field into account when the dynamics of the many-particle system is described.

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