Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation

Details Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation

1999-01-26

arxiv.org/abs/cond-mat/9901284v1

Physics

Condensed Matter

13 pages, 10 figures (fig1.ps, fig2.eps, fig3.ps, fog4a.ps, fig 4b.ps, fig5.ps, fig6.eps, fig7a.ps, fig7b.ps, fig8.ps

Scientific paper

10.1007/s100510050964

We study the nature of the instability of the homogeneous steady states of the subcritical Ginzburg-Landau equation in the presence of group velocity. The shift of the absolute instability threshold of the trivial steady state, induced by the destabilizing cubic nonlinearities, is confirmed by the numerical analysis of the evolution of its perturbations. It is also shown that the dynamics of these perturbations is such that finite size effects may suppress the transition from convective to absolute instability. Finally, we analyze the instability of the subcritical middle branch of steady states, and show, analytically and numerically, that this branch may be convectively unstable for sufficiently high values of the group velocity.

Affiliated with

Also associated with

No associations

Rating

Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation 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 Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convective and Absolute Instabilities in the Subcritical Ginzburg-Landau Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237149