Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model

Eliezer Hameiri, R. Torasso

Research output: Contribution to journalArticle

Abstract

The magnetohydrodynamic (MHD) plasma model, as modified by the Hall effect, is given a Hamiltonian formulation and its stability properties are studied. It is found that, in most cases, a stable MHD plasma remains stable after the addition of the Hall effect. The most notable exceptions are when the pressure profile decreases with increasing density or when the entropy increases with density. The Hamiltonian structure of the equations enables the derivation of bounds that restrict the location of eigenfrequencies in the complex plane in some cases. The phenomenon of overstability, whereby the real part of a marginally stable eigenfrequency does not vanish, appears to be typical.

Original languageEnglish (US)
Article number12
Pages (from-to)4934-4945
Number of pages12
JournalPhysics of Plasmas
Volume11
Issue number11
DOIs
StatePublished - Nov 2004

Fingerprint

magnetohydrodynamics
Hall effect
derivation
entropy
formulations
profiles

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model. / Hameiri, Eliezer; Torasso, R.

In: Physics of Plasmas, Vol. 11, No. 11, 12, 11.2004, p. 4934-4945.

Research output: Contribution to journalArticle

Hameiri, Eliezer ; Torasso, R. / Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model. In: Physics of Plasmas. 2004 ; Vol. 11, No. 11. pp. 4934-4945.
@article{4fda02a8cebe4d11967208bcecb3cbe5,
title = "Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model",
abstract = "The magnetohydrodynamic (MHD) plasma model, as modified by the Hall effect, is given a Hamiltonian formulation and its stability properties are studied. It is found that, in most cases, a stable MHD plasma remains stable after the addition of the Hall effect. The most notable exceptions are when the pressure profile decreases with increasing density or when the entropy increases with density. The Hamiltonian structure of the equations enables the derivation of bounds that restrict the location of eigenfrequencies in the complex plane in some cases. The phenomenon of overstability, whereby the real part of a marginally stable eigenfrequency does not vanish, appears to be typical.",
author = "Eliezer Hameiri and R. Torasso",
year = "2004",
month = "11",
doi = "10.1063/1.1784453",
language = "English (US)",
volume = "11",
pages = "4934--4945",
journal = "Physics of Plasmas",
issn = "1070-664X",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

TY - JOUR

T1 - Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model

AU - Hameiri, Eliezer

AU - Torasso, R.

PY - 2004/11

Y1 - 2004/11

N2 - The magnetohydrodynamic (MHD) plasma model, as modified by the Hall effect, is given a Hamiltonian formulation and its stability properties are studied. It is found that, in most cases, a stable MHD plasma remains stable after the addition of the Hall effect. The most notable exceptions are when the pressure profile decreases with increasing density or when the entropy increases with density. The Hamiltonian structure of the equations enables the derivation of bounds that restrict the location of eigenfrequencies in the complex plane in some cases. The phenomenon of overstability, whereby the real part of a marginally stable eigenfrequency does not vanish, appears to be typical.

AB - The magnetohydrodynamic (MHD) plasma model, as modified by the Hall effect, is given a Hamiltonian formulation and its stability properties are studied. It is found that, in most cases, a stable MHD plasma remains stable after the addition of the Hall effect. The most notable exceptions are when the pressure profile decreases with increasing density or when the entropy increases with density. The Hamiltonian structure of the equations enables the derivation of bounds that restrict the location of eigenfrequencies in the complex plane in some cases. The phenomenon of overstability, whereby the real part of a marginally stable eigenfrequency does not vanish, appears to be typical.

UR - http://www.scopus.com/inward/record.url?scp=10944229742&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10944229742&partnerID=8YFLogxK

U2 - 10.1063/1.1784453

DO - 10.1063/1.1784453

M3 - Article

VL - 11

SP - 4934

EP - 4945

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 11

M1 - 12

ER -