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Stochastic localization and non-Boltzmann distribution

Author

Listed:
  • Bao, Wen
  • Li, Ming-Gen
  • Wang, Hai-Yang
  • Bao, Jing-Dong

Abstract

We investigate the microscopical root and macroscopical representation of the stochastic localization, which is a nonergodic motion in oppositive to the other limit of ballistic diffusion. In order to produce such anomalous kinetics, we consider that a tagged particle is linearly coupled to a series connection bath or the terminal of a coupled-oscillator-chain. By means of generalized Langevin equation formalism, we obtain the coordinate autocorrelation function. The localization emerged of a particle at finite temperature, is due to the spectrum of driving noise diverging at zero frequency. Consequently, the steady distribution of system depends on its initial coordinate preparation.

Suggested Citation

  • Bao, Wen & Li, Ming-Gen & Wang, Hai-Yang & Bao, Jing-Dong, 2023. "Stochastic localization and non-Boltzmann distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    • Handle: RePEc:eee:phsmap:v:611:y:2023:i:c:s0378437122009815
    DOI: 10.1016/j.physa.2022.128423
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