Treatment of the Equations of Classical Diffusion in Homogeneous Isotropic Media

A method is described which utilizes a generalized convolution to produce simplification of the equations of a wide range of classical diffusion processes. The resulting transformation expresses the solutions to these equations in terms of solutions for much simpler problems, many of the latter bein...

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Bibliographic Details
Published in:The Journal of chemical physics 1956-01, Vol.25 (2), p.270-274
Main Author: O'Sullivan, D. G.
Format: Article
Language:English
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Summary:A method is described which utilizes a generalized convolution to produce simplification of the equations of a wide range of classical diffusion processes. The resulting transformation expresses the solutions to these equations in terms of solutions for much simpler problems, many of the latter being already available in textbooks. Demonstrations are given of the use of this method in the facile development of the required concentration mappings for certain systems.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1742869