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

Kuniyasu Saitoh, Takeshi Kawasaki

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number99
JournalFrontiers in Physics
Volume8
DOIs
Publication statusPublished - 2020 Apr 8

Keywords

  • correlation length
  • critical scaling analysis
  • diffusion coefficient
  • jamming transition
  • soft matter

ASJC Scopus subject areas

  • Biophysics
  • Materials Science (miscellaneous)
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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