Topological Edge Floppy Modes in Disordered Fiber Networks

Physical Review Letters
Di ZhouXiaoming Mao

Abstract

Disordered fiber networks are ubiquitous in a broad range of natural (e.g., cytoskeleton) and manmade (e.g., aerogels) materials. In this Letter, we discuss the emergence of topological floppy edge modes in two-dimensional fiber networks as a result of deformation or active driving. It is known that a network of straight fibers exhibits bulk floppy modes which only bend the fibers without stretching them. We find that, interestingly, with a perturbation in geometry, these bulk modes evolve into edge modes. We introduce a topological index for these edge modes and discuss their implications in biology.

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Citations

Nov 10, 2018·Physical Review Letters·Francis G WoodhouseJörn Dunkel
Jul 20, 2019·Physical Review Letters·Olaf Stenull, T C Lubensky
Mar 22, 2019·Proceedings of the National Academy of Sciences of the United States of America·Matthias MerkelM Lisa Manning
Jun 6, 2020·Physical Review Letters·Kai Sun, Xiaoming Mao
Dec 29, 2020·Soft Matter·Maximilian J GrillAlex J Levine
Jan 9, 2021·Physical Review Letters·Johannes KnebelErwin Frey
Jun 22, 2021·Soft Matter·Karsten Baumgarten, Brian P Tighe
Jun 27, 2021·Biomechanics and Modeling in Mechanobiology·Jonas F EichingerChristian J Cyron
Nov 9, 2018·Langmuir : the ACS Journal of Surfaces and Colloids·Henry CoxJian R Lu
Aug 31, 2021·Physical Review Letters·Po-Wei LoMichael J Lawler
Sep 11, 2021·Soft Matter·Harry LiuXiaoming Mao

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