气候变化领域集成服务门户(CCPortal): Pattern-induced local symmetry breaking in active-matter systems

CCPortal

DOI	10.1073/pnas.2010302117
	Pattern-induced local symmetry breaking in active-matter systems
	Denk J.; Frey E.
发表日期	2020
ISSN	0027-8424
起始页码	31623
结束页码	31630
卷号	117 期号:50
英文摘要	The emergence of macroscopic order and patterns is a central paradigm in systems of (self-)propelled agents and a key component in the structuring of many biological systems. The relationships between the ordering process and the underlying microscopic interactions have been extensively explored both experimentally and theoretically. While emerging patterns often show one specific symmetry (e.g., nematic lane patterns or polarized traveling flocks), depending on the symmetry of the alignment interactions patterns with different symmetries can apparently coexist. Indeed, recent experiments with an actomysin motility assay suggest that polar and nematic patterns of actin filaments can interact and dynamically transform into each other. However, theoretical understanding of the mechanism responsible remains elusive. Here, we present a kinetic approach complemented by a hydrodynamic theory for agents with mixed alignment symmetries, which captures the experimentally observed phenomenology and provides a theoretical explanation for the coexistence and interaction of patterns with different symmetries. We show that local, pattern-induced symmetry breaking can account for dynamically coexisting patterns with different symmetries. Specifically, in a regime with moderate densities and a weak polar bias in the alignment interaction, nematic bands show a local symmetry-breaking instability within their high-density core region, which induces the formation of polar waves along the bands. These instabilities eventually result in a self-organized system of nematic bands and polar waves that dynamically transform into each other. Our study reveals a mutual feedback mechanism between pattern formation and local symmetry breaking in active matter that has interesting consequences for structure formation in biological systems. © 2020 National Academy of Sciences. All rights reserved.
英文关键词	Active-matter theory; Emergent symmetries; Pattern coexistence; Pattern formation
语种	英语
scopus关键词	Article; controlled study; density; diffusion; feedback system; hydrodynamics; kinetics; priority journal; simulation; theoretical study; velocity
来源期刊	Proceedings of the National Academy of Sciences of the United States of America
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/160188
作者单位	Denk, J., Arnold Sommerfeld Center for Theoretical Physics, Department of Physics, Ludwig-Maximilians-Universität München, München, D-80333, Germany, Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, München, D-80333, Germany, Department of Physics, University of California, Berkeley, CA 94720, United States, Department of Integrative Biology, University of California, Berkeley, CA 94720, United States; Frey, E., Arnold Sommerfeld Center for Theoretical Physics, Department of Physics, Ludwig-Maximilians-Universität München, München, D-80333, Germany, Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, München, D-80333, Germany
推荐引用方式 GB/T 7714	Denk J.,Frey E.. Pattern-induced local symmetry breaking in active-matter systems[J],2020,117(50).
APA	Denk J.,&Frey E..(2020).Pattern-induced local symmetry breaking in active-matter systems.Proceedings of the National Academy of Sciences of the United States of America,117(50).
MLA	Denk J.,et al."Pattern-induced local symmetry breaking in active-matter systems".Proceedings of the National Academy of Sciences of the United States of America 117.50(2020).