Stellar Oscillons
Astrophysics
2009-10-30 v1 Pattern Formation and Solitons
patt-sol
Abstract
We study the weakly nonlinear evolution of acoustic instability of a plane- parallel polytrope with thermal dissipation in the form of Newton's law of cooling. The most unstable horizontal wavenumbers form a band around zero and this permits the development of a nonlinear pattern theory leading to a complex Ginzburg-Landau equation (CGLE). Numerical solutions for a subcritical, quintic CGLE produce vertically oscillating, localized structures that resemble the oscillons observed in recent experiments of vibrated granular material.
Cite
@article{arxiv.astro-ph/9806209,
title = {Stellar Oscillons},
author = {O. M. Umurhan and L. Tao and E. A. Spiegel},
journal= {arXiv preprint arXiv:astro-ph/9806209},
year = {2009}
}
Comments
12 Latex pages using aasms4.sty, 2 postscript figures, submitted to the proceedings of the Florida Workshop in Nonlinear Astrophysics and Physics