Persistence Exponent for Diffusion: The Exact Solution

Details Persistence Exponent for Diffusion: The Exact Solution Persistence Exponent for Diffusion: The Exact Solution

2010-05-02

arxiv.org/abs/1005.0120v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

The persistence exponent for diffusion equation with random gaussian initial
conditions has been calculated for any dimension $d$. The value of the exponent
in the asymptotic limit for large time comes out to be $d/4$ . The result is at
variance with the generally accepted values of $0.12$,$0.18$ and $0.23$ for
$d=1,2,3$ respectively.

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