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

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

1997-10-24

arxiv.org/abs/physics/9710034v1

Physics

Plasma Physics

18 pages, LaTeX

Scientific paper

10.1023/B:JOSS.0000026732.51044.

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 (eN(t),Zn(t)). In the limit of an infinite number of particles, a Vlasov-like kinetic equation is generated for the distribution function f(x,v,t), coupled to envelope equations for the M waves. Any initial data (f(0),Z(0)) with finite energy is transported to a unique (f(t),Z(t)). Moreover, for any time T>0, given a sequence of initial data with N particles distributed so that the particle distribution fN(0)-->f(O) weakly and with Zn(0)-->Z(O) as N tends to infinity, the states generated by the Hamiltonian dynamics at all time 0

Affiliated with

Also associated with

No associations

Rating

Kinetic limit of N-body description of wave-particle self- consistent interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kinetic limit of N-body description of wave-particle self- consistent interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetic limit of N-body description of wave-particle self- consistent interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375162