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DOI	10.1063/5.0006126
	Stripes on finite domains: Why the zigzag instability is only a partial story
	Shapira, Alon Z.; Uecker, Hannes; Yochelis, Arik
通讯作者	Yochelis, A
来源期刊	CHAOS
ISSN	1054-1500
EISSN	1089-7682
出版年	2020
卷号	30 期号:7
英文摘要	Stationary periodic patterns are widespread in natural sciences, ranging from nano-scale electrochemical and amphiphilic systems to mesoscale fluid, chemical, and biological media and to macro-scale vegetation and cloud patterns. Their formation is usually due to a primary symmetry breaking of a uniform state to stripes, often followed by secondary instabilities to form zigzag and labyrinthine patterns. These secondary instabilities are well studied under idealized conditions of an infinite domain; however, on finite domains, the situation is more subtle since the unstable modes depend also on boundary conditions. Using two prototypical models, the Swift-Hohenberg equation and the forced complex Ginzburg-Landau equation, we consider finite size domains with no flux boundary conditions transversal to the stripes and reveal a distinct mixed-mode instability that lies in between the classical zigzag and the Eckhaus lines. This explains the stability of stripes in the mildly zigzag unstable regime and, after crossing the mixed-mode line, the evolution of zigzag stripes in the bulk of the domain and the formation of defects near the boundaries. The results are of particular importance for problems with large timescale separation, such as bulk-heterojunction deformations in organic photovoltaic and vegetation in semi-arid regions, where early temporal transients may play an important role.
类型	Article
语种	英语
开放获取类型	Green Submitted
收录类别	SCI-E
WOS记录号	WOS:000549985400004
WOS关键词	REACTION-DIFFUSION SYSTEM ; PATTERN-FORMATION ; STABILITY ; BIFURCATION ; BOUNDARIES ; POLARIZATION ; CONTINUATION ; MECHANISMS ; POLYMER ; DESIGN
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS研究方向	Mathematics ; Physics
来源机构	Ben-Gurion University of the Negev
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/325093
作者单位	[Shapira, Alon Z.; Yochelis, Arik] Ben Gurion Univ Negev, Swiss Inst Dryland Environm & Energy Res, Blaustein Inst Desert Res, Dept Solar Energy & Environm Phys, Sede Boqer Campus, IL-8499000 Medreshet Ben Gurion, Israel; [Uecker, Hannes] Carl von Ossietzky Univ Oldenburg, Inst Math, PF 2503, D-26111 Oldenburg, Germany; [Yochelis, Arik] Ben Gurion Univ Negev, Dept Phys, IL-8410501 Beer Sheva, Israel
推荐引用方式 GB/T 7714	Shapira, Alon Z.,Uecker, Hannes,Yochelis, Arik. Stripes on finite domains: Why the zigzag instability is only a partial story[J]. Ben-Gurion University of the Negev,2020,30(7).
APA	Shapira, Alon Z.,Uecker, Hannes,&Yochelis, Arik.(2020).Stripes on finite domains: Why the zigzag instability is only a partial story.CHAOS,30(7).
MLA	Shapira, Alon Z.,et al."Stripes on finite domains: Why the zigzag instability is only a partial story".CHAOS 30.7(2020).