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Relaxation time below jamming

Year: 2020
Type: article
Abstract: Like other critical phenomena, the jamming transition accompanies the divergence of the relaxation time $τ$. A recent numerical study of frictionless spherical particles proves that $τ$ is inversely proportional to the lowest non-zero eigenvalue $λ_1$ of the dynamical matrix. In this note, we derive the scaling of $λ_1$ below the jamming transition point $φ_J$ by solving the linearized dynamical equation. The resultant critical exponent agrees with a previous theoretical result for sheared suspension obtained by applying the virtual work theorem to a simple shear, highlighting the universality of the relaxation dynamics below jamming.
DOI: 10.1063/5.0024042
Author: Harukuni Ikeda
Language: English
Open Access status: green
OpenAlex ID: W3045218757
FWCI: 0.745
Cites: 10
Cited by: 8
Related to: 10