| Fokker-Planck方程的数值解 |
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| 引用本文： | 邢静如,张树发.Fokker-Planck方程的数值解[J].计算物理,1991,8(1):79-87. |
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| 作者姓名： | 邢静如 张树发 |
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| 作者单位： | 国防科学技术大学, 长沙 410073 |
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| 摘 要： | 采用扩散模型研究核裂变,需要求解Fokker-Planck方程。本文提出一个数值计算方法-平均隐式差分方法。对具有粘滞性的核体系的有关裂变动力学量,如几率分布、裂变率、断点处的平均动能以及鞍点到断点的平均扩散时间等一系列物理量做了计算,并与适合大粘滞性的Kramers的解析解做了比较。通过与解析解的比较及对归一常数的检验,证明计算结果精确可靠。
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| 关 键 词： | 鞍点 断点 |
| 收稿时间： | 1988-02-16 |
| 修稿时间： | 1990-07-10 |
NUMERICAL SOLUTION OF THE FOKKER-PLANCK EQUATION |
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| Xing Jingru,Zhang Shufa.NUMERICAL SOLUTION OF THE FOKKER-PLANCK EQUATION[J].Chinese Journal of Computational Physics,1991,8(1):79-87. |
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| Authors: | Xing Jingru Zhang Shufa |
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| Institution: | National University of Defence Technology, Changsha 410073 |
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| Abstract: | In order to study nuclear fission by means of diffusion model we have to solve Fokker-Planck equation. In this paper we present a relevant numerical calculation method of implicit difference. For the nuclear system with viscosity the physical quantities in relation to fission dynamics are calculated, for example, the density distribution, the fission rate, the mean kinetic energy at scission point and diffusion time from saddle point to scission point etc. The results are compared with kramers'stationary analysis solution which is valid for the large viscosity. The comparison and the test of normalized constant indicate that our calculation results are exact. |
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| Keywords: | saddle point scission point |
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