关键词: 铂电极BZ反应体系, 双电层稀疏区, φ电势的空间分布, 扩散流场函数, 空间对称性破缺分支, Turing 结构

Abstract: In considering of the diffusion fluxes as field functions affected by the distribution of φ-potential a dynamical mechanism together with its evolutionary equation of reaction-diffusion type for the loose region of electrical double layer of Pt-electrode BZ reaction system is suggested in this paper. By taking a Boltzmann asymptotism of the φ-potential distribution to linearize the flux term in the evolutionary equation an analytic form of the eigenvalue of the linearized operator is also derived for this kind of three variables dynamical system. Furthermore, by adopting both the loose region of electrical double layer of static Pt-electrode BZ reaction system and the pure BZ reaction system as reference model the parameters regime for appearing Turing structure through spatial symmetry breaking were analyzed quantitatively. By means of the numerical simulation for the solution of the corresponding evolutionary equation under conditions of expected parameters, it turns out that the Turing structure which appears in the pure BZ reaction system has tended to disappear in the loose region of static electrical double layer following with the transport process reaching electro-chemical equilibrium by the effect of φ-potential. However, in the loose region of electrical double layer of irreversible Pt-electrode BZ reaction system under the condition of constant fluxes with small current a remarkable stable Turing structure appears again in former parameters regime. In addition, a kind of similar stable spatial pattern can be also observed in the parameters regime, in conditions of which the Turing pattern could not be found originally in the loose region of electrical double layer of static Pt-electrode BZ reaction system.

Key words: Pt-electrode BZ reaction system, Loose region of electrical double layer, Spatial distribution of φ-potential, Diffusion flux as field function, Spatial symmetry breaking, Turing structure