Deville R E Lee, Muratov Cyrill B, Vanden-Eijnden Eric
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA.
J Chem Phys. 2006 Jun 21;124(23):231102. doi: 10.1063/1.2217013.
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.
我们提出了一种通用机制，通过该机制，远离平衡态的系统中的微小内在涨落可导致近乎确定性的动力学行为，这些行为与在平均场极限中实现的行为显著不同。我们在施纳肯贝格反应的动力学蒙特卡罗版本中演示了该机制，在这个版本中，我们确定了一个标度极限，在该极限下，全局确定性分岔图景会因涨落而从根本上改变。结果发现，该模型的数值模拟与理论预测在定量上是一致的。
