Universal scaling for disordered viscoelastic matter near the onset of rigidity

Autor:	Liarte, Danilo B., Thornton, Stephen J., Schwen, Eric, Cohen, Itai, Chowdhury, Debanjan, Sethna, James P.
Rok vydání:	2021
Předmět:	Condensed Matter - Soft Condensed Matter Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. E 106, L052601 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.106.L052601
Popis:	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. Comment: 8 pages, 4 figures. To appear as a letter in Phys. Rev. E
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.07474 Zobrazit plný text záznamu View this record from Arxiv