Hamiltonian kinetic theory of plasma ponderomotive processes. (English) Zbl 0537.76127
Mathematical methods in hydrodynamics and integrability in dynamical systems, La Jolla Inst. 1981, AIP Conf. Proc. 88, 117-120 (1982).
Summary: [For the entire collection see Zbl 0521.00026.]
The nonlinear nonresonant interaction of plasma waves and particles is formulated in a Hamiltonian kinetic theory which treats the waveaction and particle distributions on an equal footing, thereby displaying reciprocity relations. In the quasistatic limit, a nonlinear wave-kinetic equation is obtained. The generality of the formalism allows for applications to arbitrary geometry, with the nonlinear effects expressed in terms of the linear susceptibility.
The nonlinear nonresonant interaction of plasma waves and particles is formulated in a Hamiltonian kinetic theory which treats the waveaction and particle distributions on an equal footing, thereby displaying reciprocity relations. In the quasistatic limit, a nonlinear wave-kinetic equation is obtained. The generality of the formalism allows for applications to arbitrary geometry, with the nonlinear effects expressed in terms of the linear susceptibility.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 70H05 | Hamilton’s equations |
| 76E30 | Nonlinear effects in hydrodynamic stability |
