稀疏膨胀过程中几何位形对于电子非局域热传导的影响

郑伟真; 赵斌; 胡广月; 郑坚

doi:10.7498/aps.64.195201

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稀疏膨胀过程中几何位形对于电子非局域热传导的影响

郑伟真 , 赵斌 , 胡广月 , 郑坚

稀疏膨胀过程中几何位形对于电子非局域热传导的影响

郑伟真, 赵斌, 胡广月, 郑坚

物理学报. 2015, 64(19): 195201.

doi: 10.7498/aps.64.195201.

摘要

发展了考虑一维柱对称、球对称位型下流体演化的Fokker-Planck程序, 在流体力学极限下对程序进行了校验. 利用程序模拟研究了球对称位型、平板位型下等离子体在自由稀疏演化过程中电子热流的非局域热输运行为, 分析了几何位型对电子非局域热传导的影响. 非局域卷积理论的计算研究发现, 稀疏过程中空间的几何效应会减小外向电子热输运的非局域性.

关键词:

参考文献

[1]	Spitzer L J, Hrm R 1953 Phys. Rev. 89 977
[2]	Bell A R 1996 Transport in Laser-Produced Plasmas, in Laser Plasma Interactions 5 : Inertial Confinement Fusion (Scottish Universities Summer School in Physics Institute of Physics press) pp139-168
[3]	Bell A R 1983 Phys. Fluids 26 279
[4]	Luciani J F, Mora P, Virmont J 1983 Phys. Rev. Lett. 51 1664
[5]	Malone R C, McCrory R L, Morse R L 1975 Phys. Rev. Lett. 34 721
[6]	Gotchev O V, Goncharov V N, Knauer J P, Boehly T R, Collins T J B, Epstein R, Jaanimagi P A, Meyerhofer D D 2006 Phys. Rev. Lett. 96 115005
[7]	Hu S X, Smalyuk V A, Goncharov V N, Skupsky S, Sangster T C, Meyerhofer D D, Shvarts D 2008 Phys. Rev. Lett. 101 055002
[8]	Sunahara A, Delettrez J A, Stoeckl C, Short R W, Skupsky S 2003 Phys. Rev. Lett. 91 095003
[9]	Epperlein E M, Short R W 1991 Phys. Fluids B 3 3092
[10]	Bychenkov V Y, Rozmus W, Tikhonchuk V T 1995 Phys. Rev. Lett. 75 4405
[11]	Weng S M, Sheng Z M, Zhang J 2009 Acta Phys. Sin. 58 454 (in Chinese) [翁苏明, 盛政明, 张杰 2009 物理学报 58 454]
[12]	Thomas A G R, Tzoufras M, Robinson A P L, Kingham R J, Ridgers C P, Sherlock M, Bell A R 2012 Journal of Computational Physics 231 1051
[13]	Bychenkov V Y, Matte J P, Johnston T W 1996 Phys. Plasmas 3 3518
[14]	Bychenkov V Y, Matte J P, Johnston T W 1996 Phys. Plasmas 3 1280
[15]	Soboleva T K, Krasheninnikov S I, Catto P J 2004 Contrib. Plasma Phys. 44 95
[16]	Epperlein E M 1994 Laser and Particle Beams 12 257
[17]	Zhao B, Zheng J 2008 Plasma Sci. Technol. 10 22
[18]	Li J, Zhao B, Li H, Zheng J 2010 Plasma Phys. Control. Fusion 52 085008
[19]	Atzeni S, Meyer-ter-Vehn J 2004 The Physics of Inertial Fusion Oxford Science Pub. pp133-135

施引文献

[1]	Spitzer L J, Hrm R 1953 Phys. Rev. 89 977
[2]	Bell A R 1996 Transport in Laser-Produced Plasmas, in Laser Plasma Interactions 5 : Inertial Confinement Fusion (Scottish Universities Summer School in Physics Institute of Physics press) pp139-168
[3]	Bell A R 1983 Phys. Fluids 26 279
[4]	Luciani J F, Mora P, Virmont J 1983 Phys. Rev. Lett. 51 1664
[5]	Malone R C, McCrory R L, Morse R L 1975 Phys. Rev. Lett. 34 721
[6]	Gotchev O V, Goncharov V N, Knauer J P, Boehly T R, Collins T J B, Epstein R, Jaanimagi P A, Meyerhofer D D 2006 Phys. Rev. Lett. 96 115005
[7]	Hu S X, Smalyuk V A, Goncharov V N, Skupsky S, Sangster T C, Meyerhofer D D, Shvarts D 2008 Phys. Rev. Lett. 101 055002
[8]	Sunahara A, Delettrez J A, Stoeckl C, Short R W, Skupsky S 2003 Phys. Rev. Lett. 91 095003
[9]	Epperlein E M, Short R W 1991 Phys. Fluids B 3 3092
[10]	Bychenkov V Y, Rozmus W, Tikhonchuk V T 1995 Phys. Rev. Lett. 75 4405
[11]	Weng S M, Sheng Z M, Zhang J 2009 Acta Phys. Sin. 58 454 (in Chinese) [翁苏明, 盛政明, 张杰 2009 物理学报 58 454]
[12]	Thomas A G R, Tzoufras M, Robinson A P L, Kingham R J, Ridgers C P, Sherlock M, Bell A R 2012 Journal of Computational Physics 231 1051
[13]	Bychenkov V Y, Matte J P, Johnston T W 1996 Phys. Plasmas 3 3518
[14]	Bychenkov V Y, Matte J P, Johnston T W 1996 Phys. Plasmas 3 1280
[15]	Soboleva T K, Krasheninnikov S I, Catto P J 2004 Contrib. Plasma Phys. 44 95
[16]	Epperlein E M 1994 Laser and Particle Beams 12 257
[17]	Zhao B, Zheng J 2008 Plasma Sci. Technol. 10 22
[18]	Li J, Zhao B, Li H, Zheng J 2010 Plasma Phys. Control. Fusion 52 085008
[19]	Atzeni S, Meyer-ter-Vehn J 2004 The Physics of Inertial Fusion Oxford Science Pub. pp133-135

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物理学报. 2015, 64(19): 195201.

doi: 10.7498/aps.64.195201.

稀疏膨胀过程中几何位形对于电子非局域热传导的影响

1. 中国科学技术大学近地空间重点实验室, 合肥 230026;
2. 南京工程学院数理部, 南京 211167

通信作者: 赵斌, zhaobin@mail.ustc.edu.cn

基金项目:

国家自然科学基金(批准号: 11275202)资助的课题.

收稿日期: 2015-04-10
修回日期: 2015-05-14
刊出日期: 2015-10-05

摘要: 发展了考虑一维柱对称、球对称位型下流体演化的Fokker-Planck程序, 在流体力学极限下对程序进行了校验. 利用程序模拟研究了球对称位型、平板位型下等离子体在自由稀疏演化过程中电子热流的非局域热输运行为, 分析了几何位型对电子非局域热传导的影响. 非局域卷积理论的计算研究发现, 稀疏过程中空间的几何效应会减小外向电子热输运的非局域性.

关键词:

English Abstract

Influence of spatial geometrical curvature on nonlocal electron heat transport in expanding plasmas

1.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;

2.
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

Fund Project:
Project supported by the Natural Science Foundation of China (Grant No. 11275202).

Received Date: 10 April 2015
Accepted Date: 14 May 2015
Published Online: 05 October 2015

Abstract: The electron thermal transport in fluid theory would be inaccurate when the collisionality is not enough, and the Fokker-Planck (FP) simulations are usually employed to resolve the inadequacies. In this paper, the one-dimensional Fokker-Planck code is extended to handle the cylindrical and spherical geometries in which the electron distribution functions are solved in the reference frame of the ion fluid. The FP code is validated in the fluid limit by comparing with fluid (MULTI) simulations. Then, the expansions of plasmas in different spatial geometries are simulated with the FP and fluid codes. As the main characters of nonlocal transport, the electron thermal transport inhibition and preheating are investigated in expanding plasmas. The spherical nonlocal theory can give the thermal transport inhibition and preheating phenomenon, which is exploited to fit the heat flux with variation of fitting parameter . The spherical nonlocal theory will reproduce Spizer-Hrm expression as = 0. Then we analyze the heat flux after the plasma expanding 200 ps with a uniform initial temperature T = 100 eV and density ne= 1 1021 /cm3. By comparing the heat flux computed by spherical nonlocal thermal transport theory and FP simulation, it is found that (n-1)/r term in Eq. (3a) cannot be neglected when the radius is small and the geometrical curvature effect will decrease the nonlocality of transport in outer expanding plasmas. The geometrical curvature effect leads to a smaller thermal transport inhibition and preheating in the expanding plasmas as comparing the spherical case with the planar one. The expansions of plasmas in different spatial geometries are also simulated with the FP and fluid codes under the initial conditions which are similar to the inertial confinement fusion. The same influence of geometrical curvature on nonlocal electron thermal transport are also obtained.

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稀疏膨胀过程中几何位形对于电子非局域热传导的影响

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1.
中国科学技术大学近地空间重点实验室, 合肥 230026;

2.
南京工程学院数理部, 南京 211167

通信作者: 赵斌, zhaobin@mail.ustc.edu.cn

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稀疏膨胀过程中几何位形对于电子非局域热传导的影响

通信作者: 赵斌, zhaobin@mail.ustc.edu.cn

English Abstract

Influence of spatial geometrical curvature on nonlocal electron heat transport in expanding plasmas

1.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;

2.
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

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稀疏膨胀过程中几何位形对于电子非局域热传导的影响

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作者及机构信息

1. 中国科学技术大学近地空间重点实验室, 合肥 230026; 2. 南京工程学院数理部, 南京 211167

通信作者: 赵斌, zhaobin@mail.ustc.edu.cn

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稀疏膨胀过程中几何位形对于电子非局域热传导的影响

通信作者: 赵斌, zhaobin@mail.ustc.edu.cn

English Abstract

Influence of spatial geometrical curvature on nonlocal electron heat transport in expanding plasmas

1. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; 2. Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

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1.
中国科学技术大学近地空间重点实验室, 合肥 230026;

2.
南京工程学院数理部, 南京 211167

1.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;

2.
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China