Computer simulations of three-dimensional Turing patterns in the Lengyel-Epstein model

作者：Shoji Hiroto^*; Ohta Takao

来源：Physical Review E, 2015, 91(3): 032913.

DOI：10.1103/PhysRevE.91.032913

We investigate numerically Turing patterns in the Lengyel-Epstein model in three dimensions. In a bulk homogeneous system under periodic boundary conditions, we obtain not only lamellar, cylindrical, and spherical structures but also several interconnected periodic structures including the Schwartz P-surface structure. In order to examine Turing patterns in the conditions accessible experimentally, we consider inhomogeneous systems where a parameter in the reaction- diffusion equations depends on the space coordinate with either Dirichlet or Neumann boundary conditions. In this situation, we find that a perforated-lamellar structure and an Fddd structure, both of which have a uniaxial symmetry, appear depending on the boundary conditions.

• 出版日期2015-3-19