Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear

Abstract

We numerically investigate the self-diffusion coefficient and correlation length of the rigid clusters (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.

9 pages, 7 figures

References in corpus (10)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Unified study of glass and jamming rheology in soft particle systems
• Microfluidic rheology of soft colloids above and below jamming
• Scaling properties of granular rheology near the jamming transition
• Diverging viscosity and soft granular rheology in non-Brownian suspensions
• Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles
• Universal scaling for the jamming transition
• Discontinuous shear-thickening in Brownian suspensions
• Criticality and Scaling Relations in a Sheared Granular Material
• Dimensionality and viscosity exponent in shear-driven jamming

Cited by in corpus (4)

• Data-driven discovery of self-similarity using neural networks
• A self-consistent current response theory of jamming and vibrational modes in low-temperature amorphous solids
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming
• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear