Pattern generation by dissipative parametric instability

Abstract

Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of natural and engineered systems, ranging from biology to galaxy buildup. We propose a new instability mechanism leading to pattern formation in spatially extended nonlinear systems, which is based on a periodic antiphase modulation of spectrally dependent losses arranged in a zigzag way: an effective filtering is imposed at symmetrically located wave numbers k and -k in alternating order. The properties of the dissipative parametric instability differ from the features of both key classical concepts of modulation instabilities, i.e., the Benjamin-Feir instability and the Faraday instabiltyity. We demonstrate how the dissipative parametric instability can lead to the formation of stable patterns in one- and two-dimensional systems. The proposed instability mechanism is generic and can naturally occur or can be implemented in various physical systems.

Publication DOI: https://doi.org/10.1103/PhysRevLett.116.028701
Divisions: Engineering & Applied Sciences > Electrical, Electronic & Power Engineering
Engineering & Applied Sciences
Engineering & Applied Sciences > Aston Institute of Photonics Technology
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2016 American Physical Society. Pattern Generation by Dissipative Parametric Instability. A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas. Phys. Rev. Lett. 116, 028701 – Published 13 January 2016 -Funding: Spanish Ministerio de Educación y Ciencia; European FEDER Project (FIS2011-29731-C02-01); ERC project ULTRALASER, the Russian Ministry of Education and Science (14.B25.31.0003); Russian Foundation for Basic Research (15-02-07925); Presidential Grant for Young Researchers (14.120.14.228-MK); the Dinasty Foundation; Russian Science Foundation (Grant No. 14-21-00110); and ICONE Project through the Marie Curie Grant (608099)
Uncontrolled Keywords: Physics and Astronomy(all)
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... Lett.116.028701 (Publisher URL)
PURE Output Type: Article
Published Date: 2016-01-13
Accepted Date: 2015-09-14
Authors: Perego, A.M.
Tarasov, N. ( 0000-0002-0583-8449)
Churkin, D.V.
Turitsyn, S.K. ( 0000-0003-0101-3834)
Staliunas, K.

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