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

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

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.

Keywords: relativistic plasma Landau damping nonextensive distribution longitudinal oscillation

Received: 03 November 2010
Revised: 25 November 2010
Accepted manuscript online:

PACS:	52.20.-j	(Elementary processes in plasmas)
	52.25.Dg	(Plasma kinetic equations)
	52.27.Ny	(Relativistic plasmas)
	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)

Fund: 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).

Cite this article:

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

[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)
[15]	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

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

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