| Sample Duplication Method for Monte Carlo Simulation of Large Reaction-Diffusion System |
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| 作者姓名： | 张红东 陆建明 杨玉良 |
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| 作者单位： | Institute of Macromolecular Science，Fudan University，Shanghai 200433，PRC，Institute of Macromolecular Science，Fudan University，Shanghai 200433，PRC，Institute of Macromolecular Science，Fudan University，Shanghai 200433，PRC |
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| 基金项目： | Project partly supported by the National Natural Science Foundation of China,Fok Ying Tung Education Foundation and FEYUT,SEDC,China. |
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| 摘 要： | The sample duplication method for the Monte Carlo simulation of large reaction-diffusion system is proposed in this paper. It is proved that the sample duplication method will effectively raise the efficiency and statistical precision of the simulation without changing the kinetic behaviour of the reaction-diffusion system and the critical condition for the bifurcation of the steady-states. The method has been applied to the simulation of spatial and time dissipative structure of Brusselator under the Dirichlet boundary condition. The results presented in this paper definitely show that the sample duplication method provides a very efficient way to sol-'e the master equation of large reaction-diffusion system. For the case of two-dimensional system, it is found that the computation time is reduced at least by a factor of two orders of magnitude compared to the algorithm reported in literature.
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Sample Duplication Method for Monte Carlo Simulation of Large Reaction-Diffusion System |
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| ZHANG Hong-Dong,LU Jian-Mingand YANG Yu-Liang.Sample Duplication Method for Monte Carlo Simulation of Large Reaction-Diffusion System[J].Science in China(Chemistry),1994(4). |
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| Authors: | ZHANG Hong-Dong LU Jian-Mingand YANG Yu-Liang |
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| Abstract: | The sample duplication method for the Monte Carlo simulation of large reaction-diffusion system is proposed in this paper. It is proved that the sample duplication method will effectively raise the efficiency and statistical precision of the simulation without changing the kinetic behaviour of the reaction-diffusion system and the critical condition for the bifurcation of the steady-states. The method has been applied to the simulation of spatial and time dissipative structure of Brusselator under the Dirichlet boundary condition. The results presented in this paper definitely show that the sample duplication method provides a very efficient way to sol-'e the master equation of large reaction-diffusion system. For the case of two-dimensional system, it is found that the computation time is reduced at least by a factor of two orders of magnitude compared to the algorithm reported in literature. |
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| Keywords: | Monte Carlo simulation sample duplication method reaction-diffusion system dissipative structure nonequllibrium system nonlinear system |
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