Pattern Generation by Dissipative Parametric Instability.
Phys Rev Lett
; 116(2): 028701, 2016 Jan 15.
Article
in En
| MEDLINE
| ID: mdl-26824573
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.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Main subject:
Models, Theoretical
Language:
En
Journal:
Phys Rev Lett
Year:
2016
Document type:
Article
Affiliation country:
United kingdom
Country of publication:
United States