Explicit reduction of N-body dynamics to self-consistent particle-wave interaction

Mickaël Antoni, Yves Elskens, Dominique F. Escande

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The one-dimensional (1-D) spatially periodic system of N classical particles, interacting via a Coulomb-like repulsive long-range force, is studied using classical mechanics. The usual Bohm-Gross dispersion relation for the collective modes is obtained in the absence of quasiresonant particles. In the presence of R quasiresonant particles, the evolution equations for M long-wavelength modes are coupled to the particles' motion through a self-consistent wave-particle Hamiltonian. The wave-particle Lagrangian is derived from the full N-body Lagrangian. The derivation relies on an explicit scale separation argument and avoids the use of kinetic theory and continuous medium formalism. © 1998 American Institute of Physics.
Original languageEnglish
Pages (from-to)841 - 852
Number of pages12
JournalPhysics of Plasmas
Issue number4
Publication statusPublished - 1998
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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