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Chin. Phys. B, 2021, Vol. 30(1): 015202    DOI: 10.1088/1674-1056/abc53b

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  
Revised:  19 October 2020      Published:  30 December 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:   

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

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