Fractional radial transport in cylindrical geometry.
basic_science · Level V
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- Record sourced from PubMed, PMID 41430916.
- Also identified by DOI 10.1103/w2pz-z9kq.
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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.