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

堵塞转变是非热粒子的刚性转变，与临界现象十分相似。然而，没有自发的破缺，并且随机结构在转变时被冻结。从这个意义上说，可以认为堵塞转变与玻璃化转变密切相关，尽管定量对应关系目前尚不清楚。我们进行了数值模拟，以澄清在干扰过渡的粒子运动的增长相关的性质。我们确定幂律发散的相关长度和时间，并估计临界指数。

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.