Internal fluctuations, period doubling, and chemical chaos.
Internal fluctuations, period doubling, and chemical chaos.
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DOI：
10.1103/physreve.50.3560
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发表时间：
1994-11
期刊：
影响因子：
--
通讯作者：
Wu;Kapral
中科院分区：
文献类型：
--
作者：
Wu;Kapral
在空间自由度不起作用的搅拌反应化学体系中，研究了分子内部涨落对倍周期分叉和混沌能带合并的影响。计算采用基于反应型晶格-气体元胞自动机的随机模型。该模型考虑了反应碰撞引起的分子涨落，并在平均场极限下恢复了质量-作用速率方程。可以研究大系统尺寸，并允许研究周期和混沌区域中的内部噪声标度结构。对于Willamowski-Rössler系统，噪声标度指数与受外部噪声影响的一维二次映射的噪声标度指数一致。该模型提供了一种研究小的、非平衡的、不能忽略波动的反应系统的方法。
The effects of internal molecular fluctuations on period-doubling bifurcations and chaotic band merging are studied in a well-stirred reactive chemical system where spatial degrees of freedom play no role. The calculations are carried out using a stochastic model based on reactive lattice-gas cellular automata. Molecular fluctuations arising from reactive collisions are incorporated in the model and the mass-action rate equations are recovered in the mean field limit. Large system sizes can be studied and permit the investigation of the internal noise scaling structure in the periodic and chaotic regimes. For the Willamowski-Rössler system the noise scaling exponent is consistent with that found for one-dimensional quadratic maps subject to external noise. The model provides a means to study small, non-equilibrium, reacting systems where fluctuations may not be neglected.