Vlasov stability of the Hamiltonian Mean Field model

Details Vlasov stability of the Hamiltonian Mean Field model Vlasov stability of the Hamiltonian Mean Field model

2004-01-12

arxiv.org/abs/cond-mat/0401179v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures. Submitted as a contribution to the proceedings of the International Workshop on Trends and Perspectives o

Scientific paper

10.1016/j.physa.2004.06.006

We investigate the dynamical stability of a fully-coupled system of $N$ inertial rotators, the so-called Hamiltonian Mean Field model. In the limit $N \to \infty$, and after proper scaling of the interactions, the $\mu$-space dynamics is governed by a Vlasov equation. We apply a nonlinear stability test to (i) a selected set of spatially homogeneous solutions of Vlasov equation, qualitatively similar to those observed in the quasi-stationary states arising from fully magnetized initial conditions, and (ii) numerical coarse-grained distributions of the finite-$N$ dynamics. Our results are consistent with previous numerical evidence of the disappearance of the homogenous quasi-stationary family below a certain energy.

Affiliated with

Also associated with

No associations

Rating

Vlasov stability of the Hamiltonian Mean Field model 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 stability of the Hamiltonian Mean Field model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vlasov stability of the Hamiltonian Mean Field model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372939