Vlasov moments, integrable systems and singular solutions

Details Vlasov moments, integrable systems and singular solutions Vlasov moments, integrable systems and singular solutions

2007-05-24

arxiv.org/abs/0705.3603v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, no figures. Submitted to Phys. Lett. A

Scientific paper

10.1016/j.physleta.2007.08.054

The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the operation of taking the moments of the Vlasov PDF preserves the Lie-Poisson structure. The individual particle motions correspond to singular solutions of the Vlasov equation. The paper focuses on singular solutions of the problem of geodesic motion of the Vlasov moments. These singular solutions recover geodesic motion of the individual particles.

Affiliated with

Also associated with

No associations

Rating

Vlasov moments, integrable systems and singular solutions 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 Vlasov moments, integrable systems and singular solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vlasov moments, integrable systems and singular solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606372