Volume 114, Number 6, June 2016
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||21 July 2016|
Drift-induced Benjamin-Feir instabilities
1 Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze - via G. Sansone 1, 50019 Sesto Fiorentino, Italia
2 CSDC - via G. Sansone 1, 50019 Sesto Fiorentino, Italia
3 INFN, Sezione di Firenze - via G. Sansone 1, 50019 Sesto Fiorentino, Italia
4 Department of Mathematics and Namur Center for Complex Systems-naXys, University of Namur rempart de la Vierge 8, B 5000 Namur, Belgium
Received: 16 May 2016
Accepted: 24 June 2016
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 nonhomogeneous 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.
PACS: 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer / 05.45.Xt – Synchronization; coupled oscillators / 89.75.Kd – Patterns
© EPLA, 2016
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