title: Stochastic amplification of spatial modes in a system with one diffusing species.
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, spatially organized patterns can develop, seeded by finite size corrections. General conditions are given for the stochastic patterns to occur. The predictions of the theory are tested for a specific case study.
authors: Dipartimento di Matematica e Informatica "U. Dini", University of Florence, Viale Morgagni 67/A, 50134 , Florence, Italy.
authors: Laura
authors: L
authors: Cantini
authors: Claudia
authors: C
authors: Cianci
authors: Duccio
authors: D
authors: Fanelli
authors: Emma
authors: E
authors: Massi
authors: Luigi
authors: L
authors: Barletti
authors: Malbor
authors: M
authors: Asllani
mesh_terms: D008962:Models, Theoretical; D009024:Morphogenesis; D013269:Stochastic Processes