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We numerically investigate the self-diffusion coefficient and correlationlength of the rigid clusters (i.e., the typical size of the collective motions)in sheared soft athermal particles. Here we find that the rheological flowcurves on the self-diffusion coefficient are collapsed by the proximity to thejamming transition density. This feature is in common with the well-establishedcritical scaling of flow curves on shear stress or viscosity. We furthermorereveal that the divergence of the correlation length governs the criticalbehavior of the diffusion coefficient, where the diffusion coefficient isproportional to the correlation length and the strain rate for a wide range ofthe strain rate and packing fraction across the jamming transition density.

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