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Semiclassical quantizing spatially dependent friction and anomalous diffusion

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  • Li, Ming-Gen
  • Bao, Jing-Dong

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.

Suggested Citation

  • Li, Ming-Gen & Bao, Jing-Dong, 2022. "Semiclassical quantizing spatially dependent friction and anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006240
    DOI: 10.1016/j.physa.2022.127995
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