Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation

• Published in: AIMS mathematics Vol. 6; no. 7; pp. 6868 - 6881
• Main Authors: Li, Shu-Nan, Cao, Bing-Yang
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: anomalous thermal transport; effective thermal conductivity; fractional-order derivative; irreversible thermodynamics; lévy-fokker-planck equation

Lévy-type behaviors are widely involved in anomalous thermal transport, yet generic investigations based on the mathematical descriptions of the confined Lévy flights are still lacking. In the frameworks of classical irreversible thermodynamics and Boltzmann-Gibbs statistical mechanics, the Lévy-Fok...