Drift-induced Benjamin-Feir instabilities
Statistical Mechanics
2016-08-03 v1
Abstract
A modified version of the Ginzburg-Landau equation is introduced which accounts for asymmetric couplings between neighbors sites on a one-dimensional lattice, with periodic boundary conditions. The drift term which reflects the imposed microscopic asymmetry seeds a generalized class of instabilities, reminiscent of the Benjamin-Feir type. The uniformly synchronized solution is spontaneously destabilized outside the region of parameters classically associated to the Benjamin-Feir instability, upon injection of a non homogeneous perturbation. The ensuing patterns can be of the traveling wave type or display a patchy, colorful mosaic for the modulus of the complex oscillators amplitude.
Cite
@article{arxiv.1605.00376,
title = {Drift-induced Benjamin-Feir instabilities},
author = {Francesca Di Patti and Duccio Fanelli and Timoteo Carletti},
journal= {arXiv preprint arXiv:1605.00376},
year = {2016}
}