The Diffusion Equation on a Hypersphere
J.-M. Caillol
TL;DR
This paper investigates the diffusion process on a four-dimensional spherical surface, deriving a Kubo formula to calculate the diffusion coefficient, thereby advancing understanding of diffusion in higher-dimensional curved spaces.
Contribution
It introduces a novel analysis of the diffusion equation on a 4D hypersphere and derives a Kubo formula for the diffusion coefficient.
Findings
Derived a Kubo formula for diffusion coefficient on a 4D sphere
Provided analytical solutions for the diffusion equation in higher dimensions
Enhanced understanding of diffusion in curved, higher-dimensional geometries
Abstract
We study the diffusion equation on the surface of a 4D sphere and obtain a Kubo formula for the diffusion coefficient.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering