Probing Non-Integer Dimensions

Details Probing Non-Integer Dimensions Probing Non-Integer Dimensions

2006-09-18

arxiv.org/abs/physics/0609155v1

J. Phys.: Condens. Matter 19 065119 (2007)

Physics

Chemical Physics

6 pages, 2 column-revtex4 format. Submitted to special issue of Journal of Physics: Condensed Matter, on "Chemical Kinetics Be

Scientific paper

10.1088/0953-8984/19/6/065119

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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