Convergence to equilibrium distribution. Dirac fields coupled to a particle

2025/04/22 by T. V. Dudnikova, Dudnikova, T. V.
Physics and Astronomy · #35Lxx #60Fxx #60G60 #82Bxx #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2504.15749

openalex publication_date 2025/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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