Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution

doi:10.1088/1674-1056/20/6/065201

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 65201-065201.doi: 10.1088/1674-1056/20/6/065201

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution

刘三秋, 陈小昌

Department of Physics, Nanchang University, Nanchang 330031, China

收稿日期:2010-11-03 修回日期:2010-11-25 出版日期:2011-06-15 发布日期:2011-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10963002), the International S & T Coopera- tion Program of China and Jiangxi Province (Grant No. 2009DFA02320), the Program for Innovative Research Team of Nanchang University, and the National Basic Research Program of China (Grant No. 2010CB635112).

Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution

Liu San-Qiu (刘三秋), Xiao-Chang (陈小昌)

Department of Physics, Nanchang University, Nanchang 330031, China

Received:2010-11-03 Revised:2010-11-25 Online:2011-06-15 Published:2011-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10963002), the International S & T Coopera- tion Program of China and Jiangxi Province (Grant No. 2009DFA02320), the Program for Innovative Research Team of Nanchang University, and the National Basic Research Program of China (Grant No. 2010CB635112).

摘要/Abstract

摘要： The generalized dispersion equation for longitudinal oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma is derived in the context of nonextensive q-distribution. An analytical expression for the Landau damping is obtained in an ultra-relativistic regime, which is related to q-parameter. In the limit q → 1, the result based on the relativistic Maxwellian distribution is recovered. It is shown that the interactions between the wave and particles are stronger and the waves are more strongly damped for lower values of q-parameter. The results are explained by the increased number of superthermal particles or low velocity particles contained in the plasma with the nonextensive distribution.

Abstract: The generalized dispersion equation for longitudinal oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma is derived in the context of nonextensive q-distribution. An analytical expression for the Landau damping is obtained in an ultra-relativistic regime, which is related to q-parameter. In the limit q → 1, the result based on the relativistic Maxwellian distribution is recovered. It is shown that the interactions between the wave and particles are stronger and the waves are more strongly damped for lower values of q-parameter. The results are explained by the increased number of superthermal particles or low velocity particles contained in the plasma with the nonextensive distribution.

Key words: relativistic plasma, Landau damping, nonextensive distribution, longitudinal oscillation

中图分类号: (Elementary processes in plasmas)

52.20.-j

52.25.Dg (Plasma kinetic equations) 52.27.Ny (Relativistic plasmas) 52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams)

刘三秋, 陈小昌. Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution[J]. 中国物理B, 2011, 20(6): 65201-065201.

Liu San-Qiu (刘三秋), Xiao-Chang (陈小昌). Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution[J]. Chin. Phys. B, 2011, 20(6): 65201-065201.

参考文献 26

[1]	Gell-Mann M and Tsallis C 2004 Nonextensive Entropy-Interdisciplinary Applications (New York: Oxford University Press)
[2]	Tsallis C 1988 J. Stat. Phys. 52 479
[3]	Plastino A and Plastino A R 1993 Phys. Lett. A 177 177
[4]	Boghosian B M 1996 Phys. Rev. E 53 4754
[5]	Lavagno A, Kaniadakis G, Rego-Monteiro M, Quarati P and Tsallis C 1998 Astrophys. Lett. 35 449
[6]	Alberico W M, Lavagno A and Quarati P 2000 Eur. Phys. J. C 12 499
[7]	Wilk G and Wlodarczyk Z 2000 Phys. Rev. Lett. 84 2770
[8]	Bediaga I, Curado E M F and de Miranda J M 2000 Physica A 286 156
[9]	Beck C 2000 Physica A 286 164
[10]	Drummond W E 2004 Phys. Plasmas 11 552
[11]	Short R W and Simon A 1998 Phys. Plasmas 5 4124
[12]	Rose D V, Guillory J and Beall J H 2005 Phys. Plasmas 12 014501
[13]	Chust T, Belmont G, Mottez F and Hess S 2009 Phys. Plasmas 16 092104
[14]	Bers A, Shkarofsky I P and Shoucri M 2009 Phys. Plasmas 16 022104
[15]	Ji P Y, Lu N and Zhu J 2009 Acta Phys. Sin. 58 7473 (in Chinese)
	Lima J A S, Silva Jr R and Janilo Santos 2000 Phys. Rev. E 61 3260
[16]	Valentini 2005 Phys. Plasmas 12 072106
[17]	Liu L Y and Du J L 2008 Physica A 387 4821
[18]	Curtis M F 1991 The Theory of Neutron Stars Magnetospheres (Chicago: University of Chicago Press)
[19]	Cheng A F and Ruderman M A 1980 Astrophys. J. 235 576
[20]	Hirotani K, Iguchi S, Kimura M and Wajima K 2000 Astrophys. J. 545 100
[21]	Wardle J F C, Homan D C, Ojha R and Roberts D H 1998 Nature 395 457
[22]	Mourou G and Umstadter D 1992 Phys. Fluids B 4 2315
[23]	Lavagno A 2002 Phys. Lett. A 301 13
[24]	Li X Q 2004 Collapsing Dynamics of Plasmons (Beijing: Chinese Science and Technology Press)
[25]	Lifshitz E M and Pitaevskii L P 1981 Physical Kinetics (Oxford: Pergamon)
[26]	Mikhailovskii A B 1980 Plasma Phys. 22 133

Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution

Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ya-Rong Zhang(张亚容), Qian-Han Han(韩乾翰), Jun-Lin Fang(方骏林), Ying Guo(郭颖), and Jian-Jun Shi(石建军). Ignition dynamics of radio frequency discharge in atmospheric pressure cascade glow discharge[J]. 中国物理B, 2023, 32(2): 25201-025201.
[2]	Wen-Bo Chen(陈文博) and Zhi-Gang Bu(步志刚). Correction of intense laser-plasma interactions by QED vacuum polarization in collision of laser beams[J]. 中国物理B, 2023, 32(2): 25204-025204.
[3]	Yu-Long Ma(马玉龙), Ling Liu(刘玲), Lu-You Xie(颉录有), Yong Wu(吴勇), Deng-Hong Zhang(张登红), Chen-Zhong Dong(董晨钟), Yi-Zhi Qu(屈一至), and Jian-Guo Wang(王建国). Debye-screening effect on electron-impact excitation of helium-like Al¹¹⁺ and Fe²⁴⁺ ions[J]. 中国物理B, 2022, 31(4): 43401-043401.
[4]	Shu-Xia Zhao(赵书霞) and Jing-Ze Li(李京泽). Delta distribution of electronegative plasma predicted by reformed “spring oscillator” dynamic equation with dispersing force[J]. 中国物理B, 2021, 30(5): 55202-055202.
[5]	Shu-Xia Zhao(赵书霞). Quasi-delta negative ions density of Ar/O₂ inductively coupled plasma at very low electronegativity[J]. 中国物理B, 2021, 30(5): 55201-055201.
[6]	姜子实, 高亚臣, Sabyasachi Kar, Kurunathan Ratnavelu. Resonances for positron-helium and positron-lithium systems in kappa-distribution plasma[J]. 中国物理B, 2018, 27(12): 123402-123402.
[7]	卫子安, 马锦秀, 弋开阳. Observation of double pseudowaves in an ion-beam-plasma system[J]. 中国物理B, 2018, 27(8): 85201-085201.
[8]	Wirth-Lima A J,Silva M G,Sombra A S B. Comparisons of electrical and optical properties between graphene and silicene-A review[J]. 中国物理B, 2018, 27(2): 23201-023201.
[9]	赵璐璐, 刘悦. Numerical study on discharge characteristics influenced by secondary electron emission in capacitive RF argon glow discharges by fluid modeling[J]. 中国物理B, 2018, 27(2): 25201-025201.
[10]	王奇, 于晓丽, 王德真. Numerical study on the gas heating mechanism in pulse-modulated radio-frequency glow discharge[J]. 中国物理B, 2017, 26(3): 35201-035201.
[11]	M N Stankov, A P Jovanović, V Lj Marković, S N Stamenković. Conversion of an atomic to a molecular argon ion and low pressure argon relaxation[J]. 中国物理B, 2016, 25(1): 15204-015204.
[12]	H. Kakati, S. M. Borah. Study of hysteresis behavior in reactive sputtering of cylindrical magnetron plasma[J]. 中国物理B, 2015, 24(12): 125201-125201.
[13]	祁月盈, 叶丹丹, 王建国, 屈一至. Fast-electron-impact ionization process by 3p of hydrogen-like ions in Debye plasmas[J]. , 2015, 24(3): 33403-033403.
[14]	刘富成, 贺亚峰, 王晓菲. Mode transition in homogenous dielectric barrier discharge in argon at atmospheric pressure[J]. , 2014, 23(7): 75209-075209.
[15]	M K Deka, H Bailung, N C Adhikary. Analysis of electron energy distribution function in a magnetically filtered complex plasma[J]. Chin. Phys. B, 2013, 22(4): 45201-045201.