Turing patterns modulation by chemical gradient in isothermal and non-isothermal conditions

Abstract

The modulation of Turing patterns through Dirichlet boundary conditions has been studied through the isothermal and non-isothermal versions of a Brusselator-like model in a small-size domain reactor. We considered the Minkowski functional and the rate of entropy production to characterize the morphological aspects of the patterns and to indicate transitions of spatial states. We find that boundary conditions can induce the spatial symmetry breaking of Turing patterns when they are defined around the equilibrium points of a homogeneous dynamical system. As a result, two different Turing patterns can emerge in a reactor under an imposed gradient of chemicals that contains the equivalent concentration of the equilibrium points at some point in the boundary.