Generalized Langevin equation with fluctuating diffusivity

DOI DOI Web Site Web Site 3 Citations 77 References Open Access

Bibliographic Information

Published
2022-10-26
Resource Type
journal article
Rights Information
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1103/physrevresearch.4.043062
  • 10.48550/arxiv.2204.09843
Publisher
American Physical Society (APS)

Description

A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is shown that the GLEFD satisfies a generalized fluctuation-dissipation relation. If the memory kernel is a power law, the GLEFD exhibits anomalous subdiffusion, non-Gaussianity, and stretched-exponential relaxation. The case in which the memory kernel is given by a single exponential function is also investigated as an analytically tractable example. In particular, the mean-square displacement and the self-intermediate-scattering function of this system show plateau structures. A numerical scheme to integrate the GLEFD is also presented.

23 pages, 8 figures

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