### Abstract

The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restricts the class of realizable wave-driven transformations of the particle distribution. After the interaction, the distribution remains composed of the original phase-space elements, or local densities, which are only rearranged ("restacked") by the wave. A variational formalism is developed to study the corresponding limitations on the energy and momentum transfer. A case of particular interest is a toroidal plasma immersed in a dc magnetic field. The restacking algorithm by Gardner [Phys. Fluids 6 (1963) 839] is formulated precisely. The minimum energy state for a plasma with a given current is determined.

Original language | English (US) |
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Pages (from-to) | 187-192 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 341 |

Issue number | 1-4 |

DOIs | |

State | Published - Jun 20 2005 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Keywords

- Distribution function
- Phase-space restacking
- Wave-plasma interaction