Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model

Abstract

The influence of the finite number N of particles coupled to a monochromatic wave in a collisionless plasma is investigated. For growth as well as damping of the wave, discrete particle numerical simulations show an N-dependent long time behavior resulting from the dynamics of individual particles. This behavior differs from the one due to the numerical errors incurred by Vlasov approaches. Trapping oscillations are crucial to long time dynamics, as the wave oscillations are controlled by the particle distribution inhomogeneities and the pulsating separatrix crossings drive the relaxation towards thermal equilibrium.

11 pages incl. 13 figs. Phys. Rev. E, in press

References in corpus (1)

• Phase transition in the collisionless regime for wave-particle interaction

Cited by in corpus (14)

• Thermodynamics and dynamics of systems with long-range interactions
• Statistical theory of high-gain free-electron laser saturation
• Statistical mechanics and Vlasov equation allow for a simplified hamiltonian description of single pass free electron laser saturated dynamics
• The Traveling-Wave Tube in the History of Telecommunication
• Out-of-equilibrium states as statistical equilibria of an effective dynamics
• Vlasov equation and $N$-body dynamics - How central is particle dynamics to our understanding of plasmas?
• Beam-Plasma Instability and Fast Particles: the Lynden-Bell Approach
• Diffusive transport and self-consistent dynamics in coupled maps
• Inhomogeneous Quasi-stationary States in a Mean-field Model with Repulsive Cosine Interactions
• Equilibrium statistical mechanics for single waves and wave spectra in Langmuir wave-particle interaction
• Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures
• Unveiling the nature of out-of-equilibrium phase transitions in a system with long-range interactions
• Nonlinear Density Waves in the Single-Wave Model
• Classical Goldstone modes in Long-Range Interacting Systems