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Title: Ion-acoustic solitary waves in a relativistic plasma

Abstract

The possibility of an ion-acoustic solitary wave in a relativistic plasma comprised of hot electrons and cold ions is investigated by Sagdeev's pseudopotential method using a set of fully relativistic two-fluid equations. In the nonrelativistic limit, the general relativistic conditions for the existence of solitary waves found in the present study reduces exactly to the well known expressions for the nonrelativistic conditions. It is found by a graphical method that as the flow velocity of the plasma increases, the shape of the solitary wave becomes sharper and more prominent if the flow velocity is larger than the solitary-wave velocity. In the case in which the flow velocity is smaller than the solitary-wave velocity, however, the solitary wave is more pronounced for smaller flow velocity. It is also found that, for a fixed flow velocity, the sharpness and the height of the solitary wave decrease as the temperature increases as in nonrelativistic plasmas. Unlike in nonrelativistic plasmas, the present study predicts the existence of nonmoving soliton-like electrostatic structures.

Authors:
;  [1];  [2]
  1. Department of Physics, Pusan National University, Busan 609-735 (Korea, Republic of)
  2. (Korea, Republic of)
Publication Date:
OSTI Identifier:
20974830
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 2; Other Information: DOI: 10.1063/1.2536581; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ELECTRON TEMPERATURE; ELECTRONS; HEIGHT; ION ACOUSTIC WAVES; ION TEMPERATURE; IONS; PLASMA FLUID EQUATIONS; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; VELOCITY

Citation Formats

Lee, Nam C., Choi, Cheong Rim, and Department of Astronomy and Space Science, College of Natural Sciences and Institute for Basic Science Research, Chungbuk National University, Cheongju 361-763. Ion-acoustic solitary waves in a relativistic plasma. United States: N. p., 2007. Web. doi:10.1063/1.2536581.
Lee, Nam C., Choi, Cheong Rim, & Department of Astronomy and Space Science, College of Natural Sciences and Institute for Basic Science Research, Chungbuk National University, Cheongju 361-763. Ion-acoustic solitary waves in a relativistic plasma. United States. doi:10.1063/1.2536581.
Lee, Nam C., Choi, Cheong Rim, and Department of Astronomy and Space Science, College of Natural Sciences and Institute for Basic Science Research, Chungbuk National University, Cheongju 361-763. Thu . "Ion-acoustic solitary waves in a relativistic plasma". United States. doi:10.1063/1.2536581.
@article{osti_20974830,
title = {Ion-acoustic solitary waves in a relativistic plasma},
author = {Lee, Nam C. and Choi, Cheong Rim and Department of Astronomy and Space Science, College of Natural Sciences and Institute for Basic Science Research, Chungbuk National University, Cheongju 361-763},
abstractNote = {The possibility of an ion-acoustic solitary wave in a relativistic plasma comprised of hot electrons and cold ions is investigated by Sagdeev's pseudopotential method using a set of fully relativistic two-fluid equations. In the nonrelativistic limit, the general relativistic conditions for the existence of solitary waves found in the present study reduces exactly to the well known expressions for the nonrelativistic conditions. It is found by a graphical method that as the flow velocity of the plasma increases, the shape of the solitary wave becomes sharper and more prominent if the flow velocity is larger than the solitary-wave velocity. In the case in which the flow velocity is smaller than the solitary-wave velocity, however, the solitary wave is more pronounced for smaller flow velocity. It is also found that, for a fixed flow velocity, the sharpness and the height of the solitary wave decrease as the temperature increases as in nonrelativistic plasmas. Unlike in nonrelativistic plasmas, the present study predicts the existence of nonmoving soliton-like electrostatic structures.},
doi = {10.1063/1.2536581},
journal = {Physics of Plasmas},
number = 2,
volume = 14,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • Effect of ion temperature on the conditions for existence of solitary waves in a relativistic plasma is studied using Sagdeev's pseudopotential approach. It is shown that the ion temperature puts a restriction on the values of [ital V], the soliton velocity. It is also shown that for small amplitude and cold ions, the present results agree with the existing published results. Numerical solutions of the equation of motion derived from the pseudopotential are obtained to see the effect of ion temperature on the width and amplitude of the ion-acoustic solitary waves.
  • The purpose of this work is to investigate the linear and nonlinear properties of the ion-acoustic waves (IAW), propagating obliquely to an external magnetic field in a weakly relativistic, rotating, and magnetized electron-positron-ion plasma. The Zakharov-Kuznetsov equation is derived by employing the reductive perturbation technique for this wave in the nonlinear regime. This equation admits the solitary wave solution. The amplitude and width of this solitary wave have been discussed with the effects of obliqueness, relativity, ion temperature, positron concentration, magnetic field, and rotation of the plasma and it is observed that for IAW these parameters affect the propagation propertiesmore » of solitary waves and these plasmas behave differently from the simple electron-ion plasmas. Likewise, the current density and electric field of these waves are investigated for their dependence on the above-mentioned parameters.« less
  • This paper discusses the existence of ion-acoustic solitary waves and their interaction in a weakly relativistic two-dimensional thermal plasma. Two Korteweg-de Vries equations for small but finite amplitude solitary waves in both {xi} and {eta} directions are derived. The phase shifts and trajectories of two solitary waves after the collision with an arbitrary angle {alpha} are also obtained. The effects of parameters of the normalized ion temperature {sigma}, the ratio of heat capacity {delta}, the relativistic factor F{sub {gamma}}, and the colliding angle {alpha} on the amplitudes, the widths and the phase shifts of both the colliding solitary waves aremore » studied. The effects of these parameters on the new nonlinear wave created by the collision between two solitary waves are examined as well. The results suggest that these parameters can significantly influence the amplitude, the width of the newly formed nonlinear wave and the colliding solitary waves. The phase shifts of the colliding solitary waves strongly depend on the colliding angle {alpha}. Moreover, there are compressive solitary waves in such a system.« less
  • Effects of dust charges on the nonlinear ion acoustic solitary waves in a fully relativistic dusty plasma for both cases of negative and positive dusts are numerically studied based on the pseudopotential method. In the presence of dusty particles, it is found that various types of nonlinear acoustic waves exist in forms which can be viewed as sequential combinations of three kinds of elementary solitary waves: bump, dip, and kink-type solitary waves. The number and the sequence of the constituent elementary solitary waves in a given nonlinear waves depend more sensitively on dust particle density than any other parameters. Formore » negatively charged dust particles of low density, the nonlinear wave is in the shape of bumpy solitary wave. For a somewhat higher density, the wave changes into a form which can be viewed as a combination of bump and dip-type solitary waves. As the density is increased further, a more complex nonlinear wave composed of bump, kink, and dip-type solitary waves emerges. For a much higher density of dust particle, the nonlinear wave can have a shape that can be considered as a combination of bump and kink-type solitary waves. For the case of positively charged dust particles, two kinds of nonlinear waves can exist: bump-type solitary wave and a combination of bump and kink solitary waves. For both cases of negative and positive dust particles, it is found that single dip-type solitary wave does not exist. It is also found that as dust particle density increases, the signature of the elementary waves becomes less prominent.« less
  • The claim by Choi et al.[C.-R. Choi, D.-Y. Lee, Y.-H. Kim, and N. C. Lee, Phys. Plasmas 16, 043701 (2009)] that different solitary wave types (humps, dips, and kinks) can be combined in one smooth profile is completely erroneous and contravenes generic rules for pseudopotential treatments.