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

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dc.creatorSlutsky, Michael
dc.date2004-06-24
dc.date.accessioned2026-07-07T02:58:50Z
dc.date.available2026-07-07T02:58:50Z
dc.descriptionMany 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0406613
dc.identifierhttp://arxiv.org/abs/cond-mat/0406613
dc.identifierAm. J. Phys. 73, 308-314 (2005)
dc.identifierdoi:10.1119/1.1842734
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24269
dc.subjectStatistical Mechanics
dc.titleDiffusion in a Half-Space: From Lord Kelvin to Path Integrals
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