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Diffusion in a Half-Space: From Lord Kelvin to Path Integrals

Michael Slutsky
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Abstract

Many important transport phenomena are described by simple mathematical models rooted in the diffusion equation. Geometrical constraints present in such phenomena often have influence of a universal sort and manifest themselves in scaling relations and stable distribution functions. In this paper, I present a treatment of a random walk confined to a half--space using a number of different approaches: diffusion equations, lattice walks and path integrals. Potential generalizations are discussed critically.

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Michael Slutsky. 2004-06-24. Diffusion in a Half-Space: From Lord Kelvin to Path Integrals. https://doi.org/10.1119/1.1842734

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