Critical dimensions of the diffusion equation
Statistical Mechanics
2009-01-23 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Cellular Automata and Lattice Gases
Atomic Physics
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0009365,
title = {Critical dimensions of the diffusion equation},
author = {T. J. Newman and Will Loinaz},
journal= {arXiv preprint arXiv:cond-mat/0009365},
year = {2009}
}
Comments
4 pages, 5 figures