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极端相对论快电子分布等离子体中横振荡色散关系

刘三秋 国洪梅

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极端相对论快电子分布等离子体中横振荡色散关系

刘三秋, 国洪梅

Transverse dispersion laws in ultra-relativistic plasma with fast electron distribution

Liu San-Qiu, Guo Hong-Mei
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  • 本文对各向同性极端相对论快电子呈幂律分布等离子体中横振荡色散关系进行了解析和数值研究.得到长波支和短波支色散关系的解析表达式.由于解析近似对波数的限制,无法得到全波数空间色散曲线,因此对色散方程进行了数值求解.研究表明,在满足长波支和短波支条件时,解析色散曲线与数值色散曲线完全符合.此外,利用多项式回归的方法对数值结果进行拟合,得到不同参数下快电子分布等离子体横振荡色散关系近似表达式,该结果为进一步研究快电子分布等离子体的性质提供了重要的理论依据.
    Analytic and numerical study of electromagnetic oscillations of isotropic relativistic plasma with fast electron distribution is presented. Different analytic formulas for the long-wavelength and short-wavelength branches are obtained. The numerical study gives the dispersion curve in the whole wavenumber range. It is shown that analytical dispersion curves in the long-wavelength and short-wavelength regions are coincident with the numerical ones. Furthermore, the approximate expression of the dispersion law for the different parameters is given by fitting numerical curves with the polynomial regression method, which provides a reference for further study.
    • 基金项目: 中国科学技术部国际科技合作项目(批准号:2009DFA02320),国家自然科学基金(批准号:10963002)和国家重点基础研究计划(批准号:2010CB635112)资助的课题.
    [1]

    Xue J K, Lang H 2003 Physics of Plasmas 10 339

    [2]

    Drummond W E 2004 Physics of Plasmas 11 552

    [3]

    Mikhailovskii A B 1980 Plasma Physics 22 133

    [4]

    Bergmana J, Eliassonb B 2001 Physics of Plasmas 8 1482

    [5]

    Schlickeiser R 2004 Physics of Plasmas 11 5532

    [6]

    Ji P Y, Lu N, Zhu J 2009 Acta. Phys. Sin. 58 7473(in Chinese) [季沛勇、鲁 楠、祝 俊 2009 物理学报 58 7473]

    [7]

    Hellberg M A, Mace R L 2002 Physics of Plasmas 9 1495

    [8]

    Achterberg A, Norman C A 1980 Astron. Astrophys. 89 353

    [9]

    Jones F C, Ellison D C 1991 Space Sci. Rev. 58 259

    [10]

    Hasegawa A, Mima K, Duong-van M 1985 Phys. Rev. Lett. 54 2608

    [11]

    Scholer M 1990 Geophys.Res.Lett. 17 1821

    [12]

    Kaplan S A 1976 Radiophysics and Quantum Electronics 19 592

    [13]

    Tsytovich V N 1976 Radiophysics and Quantum Electronics 19 582

    [14]

    Kaplan S A 1977 Astrophysics and Space Science 57 271

    [15]

    Kaplan S A, Tsytovich V N (Translated by Zhang Z D, Li X Q) 1982 Plasma Astrophysics (Beijing: Science Press) (in Chinese) [卡普兰、齐托维奇著,章振大、李晓卿译 1982 等离子体天体物理(北京:科学出版社)]

    [16]

    Silin V P, Rukhadze A A 1961 Electromagnetic properties of plasma and plasma-like media (Moscow: Atomizdat) (in Russian)

    [17]

    Li X Q 2004 Collapsing dynamics of plasmons (Beijing: Chinese Science and Technology Press) p43 (in Chinese)[李晓卿 2004 等离激元坍塌动力学(北京:中国科学技术出版社)第43页]

  • [1]

    Xue J K, Lang H 2003 Physics of Plasmas 10 339

    [2]

    Drummond W E 2004 Physics of Plasmas 11 552

    [3]

    Mikhailovskii A B 1980 Plasma Physics 22 133

    [4]

    Bergmana J, Eliassonb B 2001 Physics of Plasmas 8 1482

    [5]

    Schlickeiser R 2004 Physics of Plasmas 11 5532

    [6]

    Ji P Y, Lu N, Zhu J 2009 Acta. Phys. Sin. 58 7473(in Chinese) [季沛勇、鲁 楠、祝 俊 2009 物理学报 58 7473]

    [7]

    Hellberg M A, Mace R L 2002 Physics of Plasmas 9 1495

    [8]

    Achterberg A, Norman C A 1980 Astron. Astrophys. 89 353

    [9]

    Jones F C, Ellison D C 1991 Space Sci. Rev. 58 259

    [10]

    Hasegawa A, Mima K, Duong-van M 1985 Phys. Rev. Lett. 54 2608

    [11]

    Scholer M 1990 Geophys.Res.Lett. 17 1821

    [12]

    Kaplan S A 1976 Radiophysics and Quantum Electronics 19 592

    [13]

    Tsytovich V N 1976 Radiophysics and Quantum Electronics 19 582

    [14]

    Kaplan S A 1977 Astrophysics and Space Science 57 271

    [15]

    Kaplan S A, Tsytovich V N (Translated by Zhang Z D, Li X Q) 1982 Plasma Astrophysics (Beijing: Science Press) (in Chinese) [卡普兰、齐托维奇著,章振大、李晓卿译 1982 等离子体天体物理(北京:科学出版社)]

    [16]

    Silin V P, Rukhadze A A 1961 Electromagnetic properties of plasma and plasma-like media (Moscow: Atomizdat) (in Russian)

    [17]

    Li X Q 2004 Collapsing dynamics of plasmons (Beijing: Chinese Science and Technology Press) p43 (in Chinese)[李晓卿 2004 等离激元坍塌动力学(北京:中国科学技术出版社)第43页]

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  • PDF下载量:  813
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-05-07
  • 修回日期:  2010-07-25
  • 刊出日期:  2011-05-15

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