Semiclassical quantizing spatially dependent friction and anomalous diffusion

Ming-Gen Li and Jing-Dong Bao

Physica A: Statistical Mechanics and its Applications, 2022, vol. 605, issue C

Abstract: Semiclassical nonlinear Brownian motion is modeled using the generalized Caldeira–Leggett model, which takes into account spatially dependent friction and memory effects. We reveal that strong effective friction is induced by a semiclassical effect, although it increases fluctuations. This leads to a bifractional phenomenon; specifically, the exponent of diffusion varies non-monotonically with the power-law exponent for spatially dependent friction. The exponent of diffusion is determined by the mean-square displacement calculated from Monte Carlo simulations of the c-number quantum-generalized Langevin equation. The mechanism underlying the competition between fluctuation and friction also provides further insight into anomalous diffusion.

Keywords: Spatially dependent friction; Anomalous diffusion; C-number quantum generalized equation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006240

DOI: 10.1016/j.physa.2022.127995

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