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A kinetic equation is derived for the phase density of a system of pointparticles, generating a system of integro-differential equations fordistribution functions that have a deterministic meaning. The derivation tookinto account the retardation of interactions between particles. The obtainedequations describe the irreversible behavior of a system of particles withoutinvolving any probabilistic hypotheses. The use of the retarded potentials, inthis case, corresponds to taking the field into account when the dynamics ofthe many-particle system is described.

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