Kinetic limit of N-body description of wave-particle self- consistent interaction

M. C. Firpo, Y. Elskens

A system of N particles eN=(x1,v1,...,xN,vN) interacting self-consistently with M waves Zn=An*exp(iTn) is considered. Hamiltonian dynamics transports initial data (eN(0),Zn(0)) to…