Hamiltonian field description of the one-dimensional Poisson-Vlasov equations
The one-dimensional Poisson-Vlasov equations are cast into Hamiltonian form. A Poisson Bracket in terms of the phase space density, as sole dynamical variable, is presented. This Poisson bracket is not of the usual form, but possesses the commutator properties of antisymmetry, bilinearity, and nonassociativity by virtue of the Jacobi requirement. Clebsch potentials are seen to yield a conventional (canonical) formulation. This formulation is discretized by expansion in terms of an arbitrary complete set of basis functions. In particular, a wave field representation is obtained.
- Research Organization:
- Princeton Univ., NJ (USA). Plasma Physics Lab.
- DOE Contract Number:
- AM02-76CH03073
- OSTI ID:
- 6423520
- Report Number(s):
- PPPL-1788; ON: DE81023974
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
ANALYTICAL SOLUTION
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
HAMILTONIAN FUNCTION
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
ANALYTICAL SOLUTION
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
HAMILTONIAN FUNCTION
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION