Work

Fractional radial transport in cylindrical geometry

Year: 2025

Type: article

Abstract: A transport equation is derived from microscopic considerations, aimed at modeling fractional radial transport in cylindrical-like geometries. The procedure generalizes existing work on one-dimensional Cartesian systems. The transport equation emerges as the fluid limit of an underlying continuous-time random walk (CTRW) that preserves the required symmetries and conservation laws. In the process, appropriate radial fractional operators are identified and defined through their Hankel transforms, providing a smooth interpolation between standard radial differential operators. Finally, propagators for the radial fractional transport equation are obtained in terms of Fox H functions.

Source: Physical review. E

DOI: 10.1103/w2pz-z9kq

Authors: R. Sánchez, D. E. Newman, J. A. Mier

Institutions: Universidad Carlos III de Madrid, University of Alaska Fairbanks, Universidad de Cantabria

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Agencia Estatal de Investigación

Awards: G1797464854, INVESTIGATIONS OF THE DYNAMICS OF TURBULENT TRANSPORT: IMPLICATIONS FOR SELF CONSISTENT TRANSPORT MODELS, TRANSPORT BARRIER FORMATION AND TRANSPORT EVOLUTION, TURBULENCE AND TRANSPORT IN TOROIDAL PLASMAS