Convergence to equilibrium distribution. Dirac fields coupled to a
 particle

Q: What type of study is this?

This is a Quantitative Study study.

T. V. Dudnikova

doi:10.48550/arxiv.2504.15749

April 22, 2025Open Access

Convergence to equilibrium distribution. Dirac fields coupled to a particle

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Key Points

The main finding is the long-time convergence of distributions of random solutions to a Gaussian measure.
Results demonstrate that systems with Dirac fields and a particle can reach equilibrium under certain initial conditions.
The approach utilized is based on the Cauchy problem with mixing conditions and translation-invariant covariance.
This convergence may highlight significant behavior in quantum fields, suggesting robustness in random scenarios.

Implication

This study shows long-time convergence of distributions in Dirac fields with random initial data, indicating stability under specified conditions.

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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Cite This Study

T. V. Dudnikova (2025) studied this question.

synapsesocial.com/papers/68dd91c7fe798ba2fc498619 https://doi.org/10.48550/arxiv.2504.15749

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Convergence to equilibrium distribution. Dirac fields coupled to a particle

Key Points

Implication

Abstract

Discussion

Cite This Study

Convergence to equilibrium distribution. Dirac fields coupled to a particle

Key Points

Implication

Abstract

Discussion

Cite This Study

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