Kavli Affiliate: Itai Cohen
| First 5 Authors: Danilo B. Liarte, Stephen J. Thornton, Eric Schwen, Itai Cohen, Debanjan Chowdhury
| Summary:
The onset of rigidity in interacting liquids, as they undergo a transition to
a disordered solid, is associated with a rearrangement of the low-frequency
vibrational spectrum. In this letter, we derive scaling forms for the singular
dynamical response of disordered viscoelastic networks near both jamming and
rigidity percolation. Using effective-medium theory, we extract critical
exponents, invariant scaling combinations and analytical formulas for universal
scaling functions near these transitions. Our scaling forms describe the
behavior in space and time near the various onsets of rigidity, for rigid and
floppy phases and the crossover region, including diverging length and time
scales at the transitions.
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