Probing non-integer dimensions
P L Krapivsky, S Redner · Journal of Physics Condensed Matter · 2007
We show that a two-dimensional convection–diffusion problem 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 Péclet number. This formulation allows us to probe various diffusion-controlled processes in non-integer dimensions.