Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion

DOI10.1007/S10955-017-1861-4zbMath1397.82042arXiv1704.03312OpenAlexW2605593084MaRDI QIDQ1683984

Weihua Deng, Yao Chen, Xu-Dong Wang

Publication date: 4 December 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03312

zbMATH Keywords

harmonic potentialtempered fractional Brownian motiongeneralized Langevin equationballistic diffusionfriction kernellocalization diffusiontempered fractional Langevin equation

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

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Cites Work

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• Tempered fractional Brownian motion
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• Stochastic models for fractional calculus
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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