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本文提出了大型反应.扩散体系Monte Carlo模拟中的样本复制法。该方法可在不改变反应体系的动力学性质和分枝临界条件的前提下,对在演化过程中的体系进行逐次样本复制,从而提高了模拟的效率和精度。经对一维和两维Brusselator在Dirichlet边界条件下的时间和空间耗散结构的模拟表明,本方法的结果正确并十分有效。在两维情况下,模拟的计算机耗时比已有的文献方法至少缩短两个数量级。
In this paper, a large-scale reaction is proposed. The sample replicating method in Monte Carlo simulation of diffusion system. This method can replicate successive samples in the evolutionary system without changing the dynamic properties and the critical conditions of the branching reaction, thus improving the efficiency and accuracy of the simulation. The simulation of time and space dissipation structures under the Dirichlet boundary conditions for one-dimensional and two-dimensional Brusselator shows that the proposed method is correct and effective. In the two-dimensional case, the simulated computer consumes at least two orders of magnitude less time than the existing literature methods.