Work

On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas

Year: 2025

Type: article

Abstract: The generalized fluctuation-dissipation relations that produce the regularized Kappa distributions are studied. The two-variable Fokker-Planck equation, as well as its reductions in the absence of potential and in the overdamped limit, are considered. All these Fokker-Planck equations have the regularized Kappa distributions as the stationary solutions if the friction and diffusion coefficients satisfy the generalized fluctuation-dissipation relations. In addition, we prove that the principle of detailed balance holds for all the stationary solutions derived in this work.

Source: Entropy

DOI: 10.3390/e27111138

Author: Ran Guo

Institution: Civil Aviation University of China

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Natural Science Foundation of China, Civil Aviation University of China