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 Systems Induced by Chemical Reaction-Diffusion-Heat Conduction Couplings
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DOI：
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发表时间：
2004
影响因子：
3.1
通讯作者：
Xu Jiu
中科院分区：
文献类型：
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作者：
Xu Jiu
本文分析了化学反应扩散热传导耦合引起的空间分布纯耗散系统中温度场的对称性破缺。结果表明，即使对于单组分线性化学反应扩散热传导系统，在一定边界条件下，温度场中的这种自组织过程也是不可避免的。作为纯耗散系统中温度场的一个原型，对空间扩展的非等温小Lindedman模型进行了进一步的解析和计算机模拟研究。结果表明，温度场中时空对称性破缺的阈值不仅受系统内部参数的控制，还受系统外部约束的影响。在此基础上，提出了引出、调整或避免这种时空温度分布以供利用的方法。
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.