title: Stochastic waves in a Brusselator model with nonlocal interaction.
abstract: We show that intrinsic noise can induce spatiotemporal phenomena such as Turing patterns and traveling waves in a Brusselator model with nonlocal interaction terms. In order to predict and to characterize these stochastic waves we analyze the nonlocal model using a system-size expansion. The resulting theory is used to calculate the power spectra of the stochastic waves analytically and the outcome is tested successfully against simulations. We discuss the possibility that nonlocal models in other areas, such as epidemic spread or social dynamics, may contain similar stochastically induced patterns.
authors.affiliation: Theoretical Physics Division, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom. tommaso.biancalani@postgraduate.manchester.ac.uk
authors.forename: Tommaso
authors.initials: T
authors.lastname: Biancalani
authors.forename: Tobias
authors.initials: T
authors.lastname: Galla
authors.forename: Alan J
authors.initials: AJ
authors.lastname: McKane
mesh_terms: D008962:Models, Theoretical; D013269:Stochastic Processes