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Authors
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Shivers, J. ; Arzash, S. ; Sharma, A. ; MacKintosh, F. C.
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Title
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Scaling theory for mechanical critical behavior in fiber networks
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Date
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03.06.2019
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Number
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56652
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Abstract
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As a function of connectivity, spring networks exhibit a critical transition between floppy and rigid phases at an isostatic threshold. For connectivity below this threshold, fiber networks were recently shown theoretically to exhibit a rigidity transition with corresponding critical signatures as a function of strain. Experimental collagen networks were also shown to be consistent with these predictions. We develop a scaling theory for this strain-controlled transition. Using a real-space renormalization approach, we determine relations between the critical exponents governing the transition, which we verify for the strain-controlled transition using numerical simulations of both triangular lattice-based and packing-derived fiber networks.
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Publisher
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Physical Review Letters
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Wikidata
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Citation
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Physical Review Letters 122 (2019) Article Number: 188003
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DOI
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https://doi.org/10.1103/PHYSREVLETT.122.188003
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Tags
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