DOI: 10.1063/1.873551. Coupling between nonlinear Alfvén waves and reduced magnetohydrodynamics for compressible fluids

Coupling between nonlinear Alfvén waves and reduced magnetohydrodynamics for compressible fluids

10.1063/1.873551

Crossref journal-article

AIP Publishing

Physics of Plasmas (317)

Abstract

A reduced description of magnetohydrodynamic (MHD) turbulence in a plasma permeated by a strong uniform magnetic field is derived using a reductive perturbative expansion method. This leads to a coupled system of equations for the velocity and magnetic fields in the planes perpendicular to the ambient field, described by the usual reduced MHD equations [Zank and W. H. Matthaeus, J. Plasma Phys. 48, 85–100 (1992)] and for parallel propagating Alfvén waves, which on the characteristic time and length scale of the transverse flow, undergo cumulative nonlinear effects described by a generalized Derivative Nonlinear Schrödinger equation (DNLS). The cases β far from unity and β≈1 are addressed separately. In the latter case, the nonlinear Alfvén waves drive a mean longitudinal velocity whose magnitude is comparable to that of the transverse components. A modulational analysis for a quasi-monochromatic plane Alfvén wave at β far from unity illustrates the effect of the transverse MHD flow on the Alfvén wave filamentation.

Bibliography

Gazol, A., Passot, T., & Sulem, P. L. (1999). Coupling between nonlinear AlfvÃ©n waves and reduced magnetohydrodynamics for compressible fluids. Physics of Plasmas, 6(8), 3114â3122.

Authors 3

A. Gazol (first)
T. Passot (additional)
P. L. Sulem (additional)

References 48 Referenced 24

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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:02 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 4:57 p.m.)
Indexed	1 year, 6 months ago (Feb. 11, 2024, 3:18 a.m.)
Issued	26 years, 1 month ago (Aug. 1, 1999)
Published	26 years, 1 month ago (Aug. 1, 1999)
Published Print	26 years, 1 month ago (Aug. 1, 1999)

Funders 0

None

BibTeX

@article{Gazol_1999, title={Coupling between nonlinear Alfvén waves and reduced magnetohydrodynamics for compressible fluids}, volume={6}, ISSN={1089-7674}, url={http://dx.doi.org/10.1063/1.873551}, DOI={10.1063/1.873551}, number={8}, journal={Physics of Plasmas}, publisher={AIP Publishing}, author={Gazol, A. and Passot, T. and Sulem, P. L.}, year={1999}, month=aug, pages={3114–3122} }

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      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.873551",
  "relation": {},
  "ISSN": [
    "1070-664X",
    "1089-7674"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1999,
        8
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1999,
        8,
        1
      ]
    ]
  }
}