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Abstract <p>For a system consisting of several Dirac fields and a particle, we study the Cauchy problem with random initial data. We assume that the initial measure has zero mean value, a finite mean charge density, a translation-invariant covariance and satisfies a mixing condition. The main result is the long-time convergence of distributions of the random solutions to a limit Gaussian measure.</p>

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Convergence to Equilibrium Distribution. Dirac Fields Coupled to a Particle

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • T. V. Dudnikova

摘要

Abstract

For a system consisting of several Dirac fields and a particle, we study the Cauchy problem with random initial data. We assume that the initial measure has zero mean value, a finite mean charge density, a translation-invariant covariance and satisfies a mixing condition. The main result is the long-time convergence of distributions of the random solutions to a limit Gaussian measure.