Abstract
A numerical study of self-consistent dynamics is presented in the context of the single-wave model (SWM). The SWM is a general mean-field model that describes the weakly nonlinear dynamics of marginally stable plasmas and fluids. Also, the SWM bears many similarities with models used to describe coupled oscillator systems. We construct integrable solutions of the SWM, and illustrate the concept of self-consistent resonant mixing by following numerically the evolution of perturbed integrable solutions. Using Fourier analysis we construct kinematic effective Hamiltonians.
| Original language | English |
|---|---|
| Pages (from-to) | 10-21 |
| Number of pages | 12 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 280 |
| Issue number | 1 |
| DOIs | |
| State | Published - May 15 2000 |
| Externally published | Yes |
| Event | International Conference on Statistical Mechanics and Strongly Correlated Systems - Rome, Italy Duration: Sep 27 1999 → Sep 29 1999 |
Funding
It is a pleasure of acknowledge useful conversations with K. Kaneko, A. Rapisarda, S. Ruffo, A. Vulpiani, and W. Young. This work was funded by the National Science Foundation Grant No. NSF OCE 95-29824.
| Funders | Funder number |
|---|---|
| National Science Foundation | OCE 95-29824 |