Hickson, Roslyn; Barry, Steven; Sidhu, Harvinder; Mercer, Geoffry
Reaction diffusion has applications to a wide range of areas, including industrial, geological, and medical problems. An important aspect is the phenomenon of 'critical time', which is a measure of how long the reaction and diffusion processes take. In this work, an exact solution using a linear reaction function is used to explore three critical time definitions. The outcome of the analysis is a simple, novel relationship between the reaction and diffusion time scales.
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