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Chin. Phys. B, 2021, Vol. 30(1): 015202    DOI: 10.1088/1674-1056/abc53b
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

A fitting formula for electron-ion energy partition fraction of 3.54-MeV fusion alpha particles in hot dense deuterium-tritium plasmas

Yan-Ning Zhang(张艳宁)1, 2, Zhi-Gang Wang(王志刚)2, Yong-Tao Zhao(赵永涛)1, and Bin He(何斌)2,
1 School of Science, Xi'an Jiaotong University, Xi'an 710049, China; 2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Abstract  Based on our previous work (Phys. Plasmas 25 012704 (2018)), a fitting formula is given for electron-ion energy partition fraction of 3.54-MeV fusion alpha particles in deuterium-tritium (DT) plasmas as a function of plasma mass density ρ , electron temperature T e , and ion temperature T i. The formula can be used in a huge range of the plasma state, where ρ varies between 1.0 g/cc∼ 10.03 g/cc and both T e and T i change from 0.1 keV to 100.0 keV. Relativistic effect for electrons is investigated including the effect of the projectile recoil in the plasmas at T e ≥ 50.0 keV. The partition fraction for T e>T i is found to be close to that for T e=T i. The comparisons with other fitting results are made at some plasma densities when T e=T i, and the difference is explained. The fitting result is very close to the calculated one in most cases, which is convenient for the simulation of alpha heating in hot dense DT plasmas for inertial confined fusion.
Keywords:  inertial confinement fusion      deuterium-tritium plasma      alpha heating      energy loss  
Received:  01 September 2020      Revised:  19 October 2020      Accepted manuscript online:  28 October 2020
PACS:  52.40.Mj (Particle beam interactions in plasmas)  
  34.50.Bw (Energy loss and stopping power)  
  52.20.Hv (Atomic, molecular, ion, and heavy-particle collisions)  
  52.58.Hm (Heavy-ion inertial confinement)  
Fund: Project supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0402300 and 2017YFA0403200), the National Natural Science Foundation of China (Grant No. 11574034), the Innovation Development Foundation of China Academy of Engineering Physics (CAEP) (Grant No. CX20200029), and the Science Challenge Project (Grant Nos. JCKY201612A501).
Corresponding Authors:  Corresponding author. E-mail: hebin-rc@163.com   

Cite this article: 

Yan-Ning Zhang(张艳宁), Zhi-Gang Wang(王志刚), Yong-Tao Zhao(赵永涛), and Bin He(何斌) A fitting formula for electron-ion energy partition fraction of 3.54-MeV fusion alpha particles in hot dense deuterium-tritium plasmas 2021 Chin. Phys. B 30 015202

1 Trubnikov B A1965 Reviews of Plasma Physics, Vol. 1(New York: Consultants Bureau) p. 105
2 Deutsch C and Maynard G 2016 Matter and Radiation at Extremes 1 277
3 Kawata S, Karino T and Ogoyski A I 2016 Matter and Radiation at Extremes 1 89
4 Long K A and Tahir N A 1986 Nuclear Fusion 26 555
5 Miller G H, Moses E I and Wuest C R 2004 Nuclear Fusion 44 S228
6 Fraley G S, Linnebur E L, Mason R J and Morse R L 1974 Phys. Fluids 17 474
7 Butler T and Buckingham M J 1962 Phys. Rev. 126 1
8 Atzeni S and Meyer-ter-Vehn J2004 The Physics of Inertial Fusion (Oxford: Oxford University Press) p. 403
9 Sigmar D J and Joyce G 1971 Nuclear Fusion 11 447
10 Ichimaru S1973 Basic principles of plasma physics (Boca Raton: CRC Press) p. 324
11 Li C K and Petrasso R D 1993 Phys. Rev. Lett. 70 3059
12 Brown L S, Preston D L and Singleton R L Jr 2012 Phys. Rev. E 86 016406
13 L S Brown, D L Preston and Singleton R L Jr 2005 Phys. Rep. 410 237
14 He B, Wang Z G and Wang J G 2018 Phys. Plasmas 25 012704
15 Prentice A J R 1967 Plasma Phys. 9 433
16 Akhiezer A I, Akhiezer I A, Polovin R V, Sitenko A G and Stepanov K N1975 Plasma Electrodynamics, Vol. 2(Oxford: Pergamon Press Ltd.) p. 288
17 Kraeft W D and Strege B 1988 Physica A 149 313
18 Morawetz K and Ropke G 1996 Phys. Rev. E 54 4134
19 Maynard G and Deutsch C 1985 J. Physique 46 1113
20 Arista N R and Brandt W 1981 Phys. Rev. A 23 1898
21 He B and Wang J G 2013 Nuclear Fusion 53 093009
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