Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems
Statistical Mechanics
2009-10-30 v1
Abstract
We study the effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems. For this purpose, the Gierer-Meinhardt model of pattern formation is considered. The cases we study are: (i)randomness in the underlying lattice structure, (ii)the case in which there is a probablity p that at a lattice site both reaction and diffusion occur, otherwise there is only diffusion and lastly, the effect of (iii) anisotropic and (iv) random diffusion coefficients on the formation of Turing patterns. The general conclusion is that the Turing mechanism of pattern formation is fairly robust in the presence of randomness and anisotropy.
Cite
@article{arxiv.cond-mat/9702230,
title = {Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems},
author = {Indrani Bose and Indranath Chaudhuri},
journal= {arXiv preprint arXiv:cond-mat/9702230},
year = {2009}
}
Comments
11 pages LaTeX, 14 postscript figures, accepted in Phys. Rev. E