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

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  • Jung, Jae Won
  • Seo, Sung Kyu
  • Kim, Kyungsik

Abstract

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.

Suggested Citation

  • Jung, Jae Won & Seo, Sung Kyu & Kim, Kyungsik, 2025. "Joint probability densities of an active particle coupled to two heat reservoirs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 668(C).
    • Handle: RePEc:eee:phsmap:v:668:y:2025:i:c:s0378437125001359
    DOI: 10.1016/j.physa.2025.130483
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