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.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
Antoni, M., Elskens, Y., & Escande, D. F. (1998). Explicit reduction of N-body dynamics to self-consistent particle-wave interaction. Physics of Plasmas, 5(4), 841 - 852. https://doi.org/10.1063/1.872651