Joint probability densities of an active particle coupled to two heat reservoirs

In this paper, we derive an altered Fokker-Planck equation for an active particle with the harmonic, viscous, and random forces, coupled to two heat reservoirs. We attain the solution for the joint distribution density of our topology, including the center topology, the ring topology, and the chain...

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Bibliographic Details
Published inPhysica A Vol. 668; p. 130483
Main Authors Jung, Jae Won, Seo, Sung Kyu, Kim, Kyungsik
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.06.2025
Subjects
Active particle
Correlation time
Fokker-Planck equation
Harmonic force
Super-diffusion
Correlation time
Super-diffusion
Harmonic force
Fokker-Planck equation
Active particle
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ISSN0378-4371
DOI10.1016/j.physa.2025.130483

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Summary:In this paper, we derive an altered Fokker-Planck equation for an active particle with the harmonic, viscous, and random forces, coupled to two heat reservoirs. We attain the solution for the joint distribution density of our topology, including the center topology, the ring topology, and the chain topology, subject to an exponential correlated Gaussian force. The mean squared displacement and the mean squared velocity behavior as the super-diffusions in t<<τ and forτ=0, while those have the Gaussian forms in t>>τand forτ=0, where τ is the correlation time. We concomitantly calculate and analyze the non-equilibrium characteristics of the kurtosis, the correlation coefficient, and the moment from the derived moment equation.
ISSN:0378-4371
DOI:10.1016/j.physa.2025.130483