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Universal scaling for disordered viscoelastic matter near the onset of rigidity

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Autor(es):
Liarte, Danilo B. ; Thornton, Stephen J. ; Schwen, Eric ; Cohen, Itai ; Chowdhury, Debanjan ; Sethna, James P.
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW E; v. 106, n. 5, p. 7-pg., 2022-11-07.
Resumo

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 scales and timescales at the transitions. (AU)

Processo FAPESP: 21/14285-3 - Geometria, topologia e fluidos complexos: aplicações a cristais líquidos e sistemas elásticos desordenados
Beneficiário:Danilo Barbosa Liarte
Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores
Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais