globalchange  > 气候变化与战略
DOI: 10.1073/pnas.2010302117
论文题名:
Pattern-induced local symmetry breaking in active-matter systems
作者: Denk J.; Frey E.
刊名: Proceedings of the National Academy of Sciences of the United States of America
ISSN: 0027-8424
出版年: 2020
卷: 117, 期:50
起始页码: 31623
结束页码: 31630
语种: 英语
英文关键词: Active-matter theory ; Emergent symmetries ; Pattern coexistence ; Pattern formation
Scopus关键词: Article ; controlled study ; density ; diffusion ; feedback system ; hydrodynamics ; kinetics ; priority journal ; simulation ; theoretical study ; velocity
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.
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/163353
Appears in Collections:气候变化与战略

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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

Recommended Citation:
Denk J.,Frey E.. Pattern-induced local symmetry breaking in active-matter systems[J]. Proceedings of the National Academy of Sciences of the United States of America,2020-01-01,117(50)
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