Anomalous heat diffusion from fractional Fokker-Planck equation

DOI10.1016/j.aml.2019.07.023zbMath1426.82048OpenAlexW2965164992MaRDI QIDQ2275254

Bing-Yang Cao, Shu-Nan Li

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.07.023

zbMATH Keywords

entropyheat conductionanomalous diffusionfractional Fokker-Planck equationeffective thermal conductivity

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (3)

Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation ⋮ Hydrodynamics and transport in the long-range-interacting φ ⁴ chain ⋮ Fractional-order heat conduction models from generalized Boltzmann transport equation

Cites Work

• Unnamed Item
• Unnamed Item
• Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
• Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation
• Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux
• The Cattaneo type space-time fractional heat conduction equation
• Fractional-order theory of heat transport in rigid bodies
• Models of space-fractional diffusion: a critical review
• Numerical analysis of the space fractional Navier-Stokes equations
• The generalized Cattaneo equation for the description of anomalous transport processes
• Fractional equation description of an open anomalous heat conduction set-up

This page was built for publication: Anomalous heat diffusion from fractional Fokker-Planck equation