Critical dimensions of the diffusion equation

Details Critical dimensions of the diffusion equation Critical dimensions of the diffusion equation

2000-09-22

arxiv.org/abs/cond-mat/0009365v1

Phys.Rev.Lett.86:2712-2715,2001

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.86.2712

We study the evolution of a random initial field under pure diffusion in
various space dimensions. From numerical calculations we find that the
persistence properties of the system show sharp transitions at critical
dimensions d1 ~ 26 and d2 ~ 46. We also give refined measurements of the
persistence exponents for low dimensions.

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