空间展布体系中由化学反应-扩散-热传导耦合导致的温度场对称破缺

分析了由于化学反应-扩散-热传导耦合而导致的非等温非均匀体系中温度场对称破缺.研究结果表明,在一定的边界条件下,甚至是单组分化学反应-扩散-热传导体系,温度场的这种自组织进程也不可避免.作为温度场结构的一个范例,进一步从解析解及计算机模拟两个方面研究了小展布非等温的Lindeman模型;结果表明,温度场出现时空自组织的阈值不仅与本征参数有关,而且与体系的边界条件及外控约束相关,揭示出了诱发或避免这种温度场时空自组织之途径.

Symmetry Breaking of Temperature Field in Spatially Distributed Systems Induced by Chemical Reaction-Diffusion-Heat Conduction Couplings

Symmetry breaking of temperature field in spatially distributed pure dissipative systems induced by chemical reaction diffusion heat conduction couplings is analyzed in this paper. It is shown that this kind of self organizing processes in the temperature field is inevitable even for single component linear chemical reaction diffusion heat conduction system under a certain boundary conditions. As a prototype of temperature field in pure dissipative systems, the small spatially extended non isothermal Lindedman model, is further studied, both by analytic solution and with computer simulation. The results show that the threshold of spatio temporal symmetry breaking in the temperature field is dominated not only by the intrinsic parameters but also by the constraints forced on the system externally. An approach for bringing out, adjusting or avoiding this spatio temporal temperature pattern for utilization is then suggested.