Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials
Statistical Mechanics
2020-04-29 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
It is pointed out that, for the fractional Fokker-Planck equation for subdiffusion proposed by Metzler, Barkai, and Klafter [Phys. Rev. Lett. 82 (1999) 3563], there are four types of infinitely many exact solutions associated with the newly discovered exceptional orthogonal polynomials. They represent fractionally deformed versions of the Rayleigh process and the Jacobi process.
Keywords
Cite
@article{arxiv.2004.13020,
title = {Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials},
author = {C. -L. Ho},
journal= {arXiv preprint arXiv:2004.13020},
year = {2020}
}
Comments
6 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1207.6001