Journal
PHYSICAL REVIEW LETTERS
Volume 122, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.188003
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Funding
- National Science Foundation Division of Materials Research [DMR-1826623]
- National Science Foundation Center for Theoretical Biological Physics [PHY-1427654]
- Riki Kobayashi Fellowship in Chemical Engineering
- Ken Kennedy Institute for Information Technology Oil & Gas HPC Conference Fellowship
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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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