Stochastic Turing Patterns for systems with one diffusing species

Autor:	Cantini, Laura, Cianci, Claudia, Fanelli, Duccio, Massi, Emma, Barletti, Luigi
Rok vydání:	2013
Předmět:	Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
Popis:	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. Comment: Submitted to Mathematical Biology. Revised version with new figures, improved quality of the Table and more detail on the relevant derivation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.0851 Zobrazit plný text záznamu View this record from Arxiv