Convergence to equilibrium distribution. Dirac fields coupled to a particle
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915253354233856 |
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| author | Dudnikova, T. V. |
| author_facet | Dudnikova, T. V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence to equilibrium distribution. Dirac fields coupled to a particle Dudnikova, T. V. Mathematical Physics Probability 35Lxx, 60Fxx, 60G60, 82Bxx 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. |
| title | Convergence to equilibrium distribution. Dirac fields coupled to a particle |
| topic | Mathematical Physics Probability 35Lxx, 60Fxx, 60G60, 82Bxx |
| url | https://arxiv.org/abs/2504.15749 |