Stochastic localization and non-Boltzmann distribution

Wen Bao, Ming-Gen Li, Hai-Yang Wang and Jing-Dong Bao

Physica A: Statistical Mechanics and its Applications, 2023, vol. 611, issue C

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.

Keywords: Localization; Generalized Langevin equation; Nonergodicity; Non-Boltzmann distribution (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:611:y:2023:i:c:s0378437122009815

DOI: 10.1016/j.physa.2022.128423

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