title: Regulation of Turing patterns in a spatially extended chlorine-iodine-malonic-acid system with a local concentration-dependent diffusivity.
abstract: A chlorine-iodine-malonic-acid Turing system involving a local concentration-dependent diffusivity (LCDD) has fundamental significance for physical, chemical, and biological systems with inhomogeneous medium. We investigated such a system by both numerical computation and mathematical analysis. Our research reveals that a variable local diffusivity has an evident effect on regulating the Turing patterns for different modes. An intrinsic square-root law is given by λ ∼ (c(1)+c(2)k)(1/2), which relates the pattern wavelength (λ) with the LCDD coefficient (k). This law indicates that the system pattern has the properties of an equivalent Turing pattern. The current study confirms that, for the Turing system with LCDD, the system pattern form retains the basic characteristics of a traditional Turing pattern in a wide range of LCDD coefficients.
authors.affiliation: School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China.
authors.forename: Wei-Shen
authors.initials: WS
authors.lastname: Li
authors.forename: Wen-Yong
authors.initials: WY
authors.lastname: Hu
authors.forename: Ya-Chun
authors.initials: YC
authors.lastname: Pang
authors.forename: Tai-Ran
authors.initials: TR
authors.lastname: Liu
authors.forename: Wei-Rong
authors.initials: WR
authors.lastname: Zhong
authors.forename: Yuan-Zhi
authors.initials: YZ
authors.lastname: Shao
mesh_terms: D002713:Chlorine / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D007455:Iodine / Q000737:chemistry*; D007700:Kinetics; D008314:Malonates / Q000737:chemistry*; D008956:Models, Chemical
chemical_list: D008314:Malonates; D002713:Chlorine; D007455:Iodine; C030290:malonic acid