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Test of Constancy of Self‐Diffusion Coefficients
Author(s) -
Phillips Ronald E.
Publication year - 1969
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1969.03615995003300020044x
Subject(s) - diffusion , constant (computer programming) , fick's laws of diffusion , diffusion equation , photon transport in biological tissue , effective diffusion coefficient , mathematics , diffusion process , statistical physics , mathematical analysis , statistics , thermodynamics , physics , innovation diffusion , computer science , medicine , knowledge management , economy , radiology , dynamic monte carlo method , direct simulation monte carlo , magnetic resonance imaging , monte carlo method , economics , programming language , service (business)
A method is outlined which allows one to determine the constancy of diffusion coefficients measured by the use of Fick's second law subject to two sets of initial and boundary conditions if the spatial distribution of the diffusing ion is known. The constancy of published self‐diffusion coefficients was analyzed for illustrative purposes; they were found to remain essentially constant throughout the diffusion period. The method can be used to calculate constant diffusion coefficients from experimental spatial‐distributions of the diffusing ions. Diffusion coefficients calculated in this manner were compared with the values calculated by other methods; the values are the same, within experimental error, as predicted by theory.