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• W2012591211 abstract "A common method of investigating the diffusion of a chemical species in a solid material is to expose a slab of the material to the diffusing species at time $t = 0$, and then monitor the slab’s uptake of the diffusant as a function of time. Crank has conjectured that for Fickian diffusion, regardless of the concentration dependence of the diffusion coefficient, graphing the uptake M against $sqrt t $ always yields a curve whose slope $dM/dsqrt t $ is a decreasing function of time. Therefore, whenever an anomalous uptake curve, one whose slope $dM/dsqrt t $ is increasing for some range of times t, is observed, one usually concludes that the diffusive process must be non-Fickian. Here we show that Crank’s conjecture is correct." @default.
• W2012591211 created "2016-06-24" @default.
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• W2012591211 date "1986-08-01" @default.
• W2012591211 modified "2023-09-27" @default.
• W2012591211 title "Uptake Curves for Fickian Diffusion" @default.
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• W2012591211 doi "https://doi.org/10.1137/0146041" @default.
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