Gauge-Free Hamiltonian Structure of the Spin Maxwell-Vlasov Equations
arXiv:1101.5347 · doi:10.1016/j.physleta.2011.04.030
Abstract
We derive the gauge-free Hamiltonian structure of an extended kinetic theory, for which the intrinsic spin of the particles is taken into account. Such a semi-classical theory can be of interest for describing, e.g., strongly magnetized plasma systems. We find that it is possible to construct generalized brackets for the extended phase space, and discuss the implications of our findings.
6 pages
References in corpus (7)
- Dynamics of spin 1/2 quantum plasmas
- Quantum plasma effects in the classical regime
- Effects of the -factor in semi-classical kinetic plasma theory
- Hamiltonian formulation and analysis of a collisionless fluid reconnection model
- From extended phase space dynamics to fluid theory
- Fluid moment hierarchy equations derived from gauge invariant quantum kinetic theory
- On Krein-like theorems for noncanonical Hamiltonian systems with continuous spectra: application to Vlasov-Poisson
Cited by in corpus (5)
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- Energy conserving particle-in-cell methods for relativistic Vlasov--Maxwell equations of laser-plasma interaction
- Hybrid models for complex fluids with multipolar interactions