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Inertial confinement fusion (ICF) is one of the possible ways to realize controlled thermonuclear fusion. The fusion neutron source term is one of the important parameters in the physical design and analysis of laser plasma. The accuracy of the fusion neutron source term directly affects the reliability of the analysis results. At present, the neutron source term of deuterium-tritium fusion reaction in ICF is mainly based on formula method. It has limited applications in temperature and reaction type. Because of a large quantity of data, it is impossible to simulate the fusion reaction of each particle. In this paper, the concept of particle cloud is introduced, that is, the collection of the like particles with the same position and speed, and it is considered that the action of particle cloud is the same reaction. Because the particles should satisfy the Maxwell velocity distribution at a certain temperature and the direction is all around the circumference angle, the collision cross sections between the incident particle and different target particles are different. Therefore, the design program takes all the possible velocities, polar angles and direction angles, reads the collision cross sections between deuterium and tritium and makes corrections, and obtains the multi-temperature differential correction cross sections of deuterium and tritium fusion with Doppler energy broadening. On these bases, Monte Carlo method and discrete ordinate method method are used. A numerical simulation program for the fusion rate of D-T particles in laser plasma is developed in this paper. It is found that there are significant differences between the DT, DD, TD cross sections and the original cross sections after Doppler broadening. In a range of plasma temperature between 20 keV and 100 keV, the simulation results are more consistent with the cross section data of ENDF/B-VI and ENDF/B-VII databases of deuterium-tritium fusion reaction than those from the analytical formula method. There is a large error between the numerical simulation results and the analytical formula method in the low energy region. It may be caused by the difference of calculation methods and too big difference among the used fusion cross sections at low temperature.
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Keywords:
- laser plasma /
- deuterium-tritium fusion reaction /
- differential cross-section temperature correction /
- Monte Carlo method /
- discrete ordinate method
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[20] https://t2.lanl.gov/nis/data/endf/ [2019−3−28]
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图 1 动量矢量分解
Figure 1. Momentum vector decomposition.
图 2 二维网格误差分析
Figure 2. Two-dimensional grid error analysis.
图 3 二维网格大小造成的误差
Figure 3. Error caused by two-dimensional mesh size.
图 4 仰角对应球带(球坐标)
Figure 4. Elevation corresponding to the ball belt (ball coordinate).
图 5 氘氚等离子体聚变反应模拟流程图
Figure 5. Simulation flow of deuterium-tritium plasma fusion reaction.
图 6 氘氚等离子体聚变反应修正 (a) D-D反应截面修正; (b) D-T反应截面修正; (c) T-D反应截面修正
Figure 6. Correction of fusion reaction of deuterium-tritium plasma: (a) D-D fusion cross section correction; (b) D-T fusion cross section correction; (c) T-D fusion cross section correction.
图 7 氘氚等离子体聚变反应中子产生率
Figure 7. Neutron production rate of deuterium-tritium plasma fusion reaction.
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[1] Nuckolls J H 1982 Phys. Today 35 24
Google Scholar
[2] Johnson T H 2005 Proc. IEEE 72 548
Google Scholar
[3] Brysk H 1973 Plasma Phys. 15 611
Google Scholar
[4] Davis J, Petrov G M, Petrova T, Willingale L, Maksimchuk A, Krushelnick K 2010 Plasma Phys. Controlled Fusion 52 045015
Google Scholar
[5] Petrov G M, Higginson D P, Davis J, et al. 2013 Plasma Phys. Controlled Fusion 55 105009
Google Scholar
[6] Ditmire T, Zweiback J, Yanovsky V P, et al. 1999 Nature 398 6727
Google Scholar
[7] Bang W, Dyer G, Quevedo H J, Bernstein A C, Gaul E, Donovan M, Ditmire T 2013 Phys. Rev. E 87 023106
Google Scholar
[8] Bang W, Barbui M, Bonasera A, et al. T 2013 Phys. Rev. E 88 033108
Google Scholar
[9] Jung D, Falk K, Guler N, et al. 2013 Phys. Plasmas 20 056706
Google Scholar
[10] Ni M, Wang Y, Yuan B, Jiang J, Wu Y 2013 Fusion Eng. Des. 88 2422
Google Scholar
[11] Nie B, Ni M, Wei S 2017 J. Hazardous Mater. 327 135
Google Scholar
[12] Nie B, Ran G, Zeng Q, Du H, Li Z, Chen Y, Zhu Z, Zhao X, Ni M, Li F 2019 Energ. Sci. Eng. 7 457
Google Scholar
[13] He M Q, Cai H B, Zhang H, et al. 2015 Phys. Plasmas 22 44
Google Scholar
[14] Pomerantz I, Mccary E, Meadows A R, et al. 2014 Phys. Rev. Lett. 113 184801
Google Scholar
[15] Fausser C, Puma A L, Gabriel F, Villari R 2012 Fusion Eng. Des. 87 787
Google Scholar
[16] 林尊琪 2006 第五届全国光子学大会会议论文集 黄山 2004年10月18日 p4
Lin Z Q 2006 The Proc. the Fifth National Conference on Photonics Huangshan, China, October 18, 2004 p4 (in Chinese)
[17] 樊铁栓, 黄钢, 冯玉清 2005 原子能科学技术 39 28
Google Scholar
Fan T S, Huang G, Feng Y Q 2005 At. Energ. Sci. Technol. 39 28
Google Scholar
[18] Xu B, Ma Y, Yang X, Tang W, Wang S, Ge Z, Zhao Y, Ke Y 2017 Laser and Particle Beams 35 366
Google Scholar
[19] Bosch H S, Hale G M 1992 Nucl. Fusion 32 611
Google Scholar
[20] https://t2.lanl.gov/nis/data/endf/ [2019−3−28]
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