Probing Non-Integer Dimensions

P. L. Krapivsky; S. Redner

doi:10.1088/0953-8984/19/6/065119

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Probing Non-Integer Dimensions

P. L. Krapivsky·S. Redner

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Abstract

We show that two-dimensional convection-diffusion problems with a radial sink or source at the origin may be recast as a pure diffusion problem in a fictitious space in which the spatial dimension is continuously-tunable with the Peclet number. This formulation allows us to probe various diffusion-controlled processes in non-integer dimensions.

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P. L. Krapivsky, S. Redner. 2006-09-18. Probing Non-Integer Dimensions. https://doi.org/10.1088/0953-8984%2F19%2F6%2F065119

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