Relativistic modulational instability of electron-acoustic waves in an electron-pair ion plasma

A.P. Misra, P.K. Shukla

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The modulational instability of finite amplitude electron-acoustic waves (EAWs) along the external magnetic field is studied in an electron-pair ion plasma. Accounting for the relativistic electron mass variation nonlinearity and the Boltzmann distribution of both positive and negative ions, new regimes for the relativistic modulational instability (MI) for the low frequency (below the electron gyrofrequency) short-wavelength (in comparison with the ion gyroradius) modes are obtained numerically. It is found that the presence of a significant fraction of negative ions suppresses the MI growth/decay rate for the modulated EAW packets. The results could be of important for understanding the origin of amplitude modulated EAW packets in space (e.g., Earth's magnetotail) as well as in laboratory plasmas.
LanguageEnglish
Pages122107-1
Number of pages122106
JournalPhysics of Plasmas
Volume15
Issue number12
DOIs
Publication statusPublished - Dec 2008

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acoustics
ions
electrons
negative ions
wave packets
geomagnetic tail
gyrofrequency
Boltzmann distribution
electron mass
positive ions
decay rates
nonlinearity
low frequencies
magnetic fields
wavelengths

Keywords

  • modulational instability
  • plasma ion acoustic waves
  • plasma magnetohydrodynamics
  • plasma nonlinear processes
  • plasma
  • simulation

Cite this

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abstract = "The modulational instability of finite amplitude electron-acoustic waves (EAWs) along the external magnetic field is studied in an electron-pair ion plasma. Accounting for the relativistic electron mass variation nonlinearity and the Boltzmann distribution of both positive and negative ions, new regimes for the relativistic modulational instability (MI) for the low frequency (below the electron gyrofrequency) short-wavelength (in comparison with the ion gyroradius) modes are obtained numerically. It is found that the presence of a significant fraction of negative ions suppresses the MI growth/decay rate for the modulated EAW packets. The results could be of important for understanding the origin of amplitude modulated EAW packets in space (e.g., Earth's magnetotail) as well as in laboratory plasmas.",
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Relativistic modulational instability of electron-acoustic waves in an electron-pair ion plasma. / Misra, A.P.; Shukla, P.K.

In: Physics of Plasmas, Vol. 15, No. 12, 12.2008, p. 122107-1.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Relativistic modulational instability of electron-acoustic waves in an electron-pair ion plasma

AU - Misra, A.P.

AU - Shukla, P.K.

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N2 - The modulational instability of finite amplitude electron-acoustic waves (EAWs) along the external magnetic field is studied in an electron-pair ion plasma. Accounting for the relativistic electron mass variation nonlinearity and the Boltzmann distribution of both positive and negative ions, new regimes for the relativistic modulational instability (MI) for the low frequency (below the electron gyrofrequency) short-wavelength (in comparison with the ion gyroradius) modes are obtained numerically. It is found that the presence of a significant fraction of negative ions suppresses the MI growth/decay rate for the modulated EAW packets. The results could be of important for understanding the origin of amplitude modulated EAW packets in space (e.g., Earth's magnetotail) as well as in laboratory plasmas.

AB - The modulational instability of finite amplitude electron-acoustic waves (EAWs) along the external magnetic field is studied in an electron-pair ion plasma. Accounting for the relativistic electron mass variation nonlinearity and the Boltzmann distribution of both positive and negative ions, new regimes for the relativistic modulational instability (MI) for the low frequency (below the electron gyrofrequency) short-wavelength (in comparison with the ion gyroradius) modes are obtained numerically. It is found that the presence of a significant fraction of negative ions suppresses the MI growth/decay rate for the modulated EAW packets. The results could be of important for understanding the origin of amplitude modulated EAW packets in space (e.g., Earth's magnetotail) as well as in laboratory plasmas.

KW - modulational instability

KW - plasma ion acoustic waves

KW - plasma magnetohydrodynamics

KW - plasma nonlinear processes

KW - plasma

KW - simulation

UR - http://dx.doi.org/10.1063/1.3050062

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DO - 10.1063/1.3050062

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