Nonlinear rheology and the cooperative motion of particles at jamming/glass transitions

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Jamming transition is a rigidity transition of athermal particles, which closely resembles critical phenomena. However, there is no spontaneous symmetry-breaking and the random structure is frozen upon the transition. In this sense, it is believed that jamming transition is closely related glass transitions, although the quantitative correspondence is not clear so far. We perform a numerical simulation to clarify the nature of growing correlation in the particle motion at jamming transition. We identify power-law divergences of the correlation length and time and estimate the critical exponent.