Stochastic Turing Patterns for systems with one diffusing species
Statistical Mechanics
2013-09-16 v2
Abstract
The problem of pattern formation in a generic two species reaction--diffusion model is studied, under the hypothesis that only one species can diffuse. For such a system, the classical Turing instability cannot take place. At variance, by working in the generalized setting of a stochastic formulation to the inspected problem, Turing like patterns can develop, seeded by finite size corrections. General conditions are given for the stochastic Turing patterns to occur. The predictions of the theory are tested for a specific case study.
Cite
@article{arxiv.1306.0851,
title = {Stochastic Turing Patterns for systems with one diffusing species},
author = {Laura Cantini and Claudia Cianci and Duccio Fanelli and Emma Massi and Luigi Barletti},
journal= {arXiv preprint arXiv:1306.0851},
year = {2013}
}
Comments
Submitted to Mathematical Biology. Revised version with new figures, improved quality of the Table and more detail on the relevant derivation