Dual variational principles for nonlinear traveling waves in multifluid plasmas.
In: Physics of Plasmas, Jg. 14 (2007-08-01), Heft 8, S. 82318-82334
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Zugriff:
A Hamiltonian description of nonlinear, obliquely propagating traveling waves in a charge neutral, electron-proton, multifluid plasma is developed. The governing equations are written as a dual spatial Hamiltonian system. In the first formulation, the Hamiltonian is identified with the longitudinal, x-momentum flux integral Px=const, in which the energy integral [variant_greek_epsilon]=[variant_greek_epsilon]0 acts as a constraint, and the Hamiltonian evolution operator is d/dx, where x is the position coordinate in the wave frame. In the second Hamiltonian formulation, the Hamiltonian is proportional to the conserved energy integral [variant_greek_epsilon], in which the momentum integral Px=const acts as a constraint, and the Hamiltonian evolution operator d/dτ=uxd/dx is the Lagrangian time derivative where ux is the x component of the electron and proton fluids. The analysis is facilitated by using the de Hoffman–Teller frame of magnetohydrodynamic shock theory to simplify the transverse electron and proton momentum equations. The system is exactly integrable in cases in which the total transverse momentum fluxes of the system are zero in the de Hoffman–Teller frame. The implications of this constraint for the Alfvén Mach number of the traveling wave are discussed. The physical conditions for the formation of whistler oscillitons based on the whistler dispersion equation are discussed. [ABSTRACT FROM AUTHOR]
Titel: |
Dual variational principles for nonlinear traveling waves in multifluid plasmas.
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Autor/in / Beteiligte Person: | Webb, G. M. ; McKenzie, J. F. ; Mace, R. L. ; Ko, C. M. ; Zank, G. P. |
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Zeitschrift: | Physics of Plasmas, Jg. 14 (2007-08-01), Heft 8, S. 82318-82334 |
Veröffentlichung: | 2007 |
Medientyp: | academicJournal |
ISSN: | 1070-664X (print) |
DOI: | 10.1063/1.2757154 |
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