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arXiv 1706.02457cond-mat.soft
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堵塞颗粒系统的力逾渗过渡

Force Percolation Transition of Jammed Granular Systems

Sudhir N. Pathak, Valentina Esposito, Antonio Coniglio, Massimo Pica Ciamarra

摘要:

堵塞材料的机械和传输特性源于颗粒之间的接触力的底层渗透网络。使用广泛的模拟,我们调查这个网络,其中两个粒子被认为是链接的,如果他们的粒子间的力超过了阈值的力渗透过渡。我们表明,这种过渡属于随机渗流普适类,从而排除了存在的长程相关的力量。通过结合尺寸和压力标度的解释量,我们表明,连续力渗流过渡演变为不连续的堵塞过渡在零压力极限,作为关键区域的尺寸标度与压力。

英文摘要:

The mechanical and transport properties of jammed materials originate from an underlying per- colating network of contact forces between the grains. Using extensive simulations we investigate the force-percolation transition of this network, where two particles are considered as linked if their interparticle force overcomes a threshold. We show that this transition belongs to the random percolation universality class, thus ruling out the existence of long-range correlations between the forces. Through a combined size and pressure scaling for the percolative quantities, we show that the continuous force percolation transition evolves into the discontinuous jamming transition in the zero pressure limit, as the size of the critical region scales with the pressure.

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