2022/04/14 by Kuniyasu Saitoh, Saitoh, Kuniyasu, Takeshi Kawasaki +1
Materials Science · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #FOS: Physical sciences #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2204.07127
openalex publication_date 2022/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We numerically study shear-induced diffusion of soft athermal particles in two dimensions. The Green-Kubo (GK) formula is applicable to the shear-induced diffusion coefficient, where both mean squared transverse velocity and relaxation time included in the GK formula are well described by critical scaling near jamming. We show that the auto-correlation function of transverse velocities is stretched exponential if the system is below jamming or shear rate is large enough. However, if the system is above jamming and the shear rate is sufficiently small, the auto-correlation function exhibits a long-time tail such that time integral in the GK formula diverges in two dimensions. We propose an empirical scaling relation for the critical exponents and show that the long-time tail is consistent with the divergence of the shear-induced diffusion coefficient.