Poisson structure of the equations of ideal multispecies fluid electrodynamics

Journal Article · Wed Aug 01 04:00:00 EDT 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526460· OSTI ID:6651073

Spencer, R G

The equations of the two- (or multi-) fluid model of plasma physics are recast in Hamiltonian form, following general methods of symplectic geometry. The dynamical variables are the fields of physical interest, but are noncanonical, so that the Poisson bracket in the theory is not the standard one. However, it is a skew-symmetric bilinear form which, from the method of derivation, automatically satisfies the Jacobi identity; therefore, this noncanonical structure has all the essential properties of a canonical Poisson bracket.

• Research Organization: Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6651073
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

640440* -- Fluid Physics-- Electrohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
ELECTROHYDRODYNAMICS
EQUATIONS
FLUID MECHANICS
FLUIDS
HAMILTONIANS
HYDRODYNAMICS
MAGNETOHYDRODYNAMICS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION
QUANTUM OPERATORS