Non-meanfield deterministic limits in chemical reaction kinetics.
Non-meanfield deterministic limits in chemical reaction kinetics.
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化学反应动力学中的非平均场确定性极限。
DOI：
10.1063/1.2217013
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Vanden-Eijnden,Eric
中科院分区：
文献类型：
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作者：
Deville,RELee;Muratov,CyrillB;Vanden-Eijnden,Eric
本文提出了一个普遍的机制，在远离平衡的系统中，微小的内在波动可以导致几乎确定的动力学行为，这些行为与在平均场极限下实现的行为明显不同。在动力学蒙特卡罗版本的Schnakenberg反应中，我们确定了一个缩放极限，在这个极限中，全局确定性分岔图从根本上被波动改变了。该模型的数值模拟结果与理论预测结果在定量上是一致的。
A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly distinct from those realized in the meanfield limit. The mechanism is demonstrated for the kinetic Monte-Carlo version of the Schnakenberg reaction where we identified a scaling limit in which the global deterministic bifurcation picture is fundamentally altered by fluctuations. Numerical simulations of the model are found to be in quantitative agreement with theoretical predictions.