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

干扰相变是一种非热粒子的刚性相变，与临界现象极为相似。然而，没有自发的对称性破缺，随机结构在相变时被冻结。在这个意义上，人们认为干扰跃迁是与玻璃跃迁密切相关的，尽管到目前为止数量上的对应尚不清楚。我们进行了数值模拟，以阐明干扰过渡时粒子运动日益增长的相关性的本质。我们确定了关联长度和时间的幂函数发散，并估计了临界指数。

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.