Critical Scaling of Diffusion Coefficients and Size of Rigid Clusters of Soft Athermal Particles Under Shear

Autor: Kuniyasu Saitoh, Takeshi Kawasaki
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Frontiers in Physics, Vol 8 (2020)
Druh dokumentu: article
ISSN: 2296-424X
DOI: 10.3389/fphy.2020.00099
Popis: We numerically investigate the self-diffusion coefficient and correlation length (i.e., the typical size of the collective motions) in sheared soft athermal particles. Here we find that the rheological flow curves on the self-diffusion coefficient are collapsed by the proximity to the jamming transition density. This feature is in common with the well-established critical scaling of flow curves on shear stress or viscosity. We furthermore reveal that the divergence of the correlation length governs the critical behavior of the diffusion coefficient, where the diffusion coefficient is proportional to the correlation length and the strain rate for a wide range of the strain rate and packing fraction across the jamming transition density.
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