Fierro A, Nicodemi M, Tarzia M, de Candia A, Coniglio A
Dipartimento di Scienze Fisiche, Università degli Studi di Napoli Federico II, INFM and INFN, via Cinthia, 80126 Napoli, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 1):061305. doi: 10.1103/PhysRevE.71.061305. Epub 2005 Jun 28.
In order to study analytically the nature of the jamming transition in granular material, we have considered a cavity method mean-field theory, in the framework of a statistical mechanics approach, based on Edwards' original idea. For simplicity, we have applied the theory to a lattice model, and a transition with exactly the same nature of the glass transition in mean-field models for usual glass formers is found. The model is also simulated in three dimensions under tap dynamics, and a jamming transition with glassy features is observed. In particular, two-step decays appear in the relaxation functions and dynamic heterogeneities resembling ones usually observed in glassy systems. These results confirm early speculations about the connection between the jamming transition in granular media and the glass transition in usual glass formers, giving moreover a precise interpretation of its nature.
为了从分析角度研究颗粒材料中堵塞转变的本质，我们基于爱德华兹的原始想法，在统计力学方法的框架内考虑了一种腔方法平均场理论。为简单起见，我们将该理论应用于一个晶格模型，并发现了一种与普通玻璃形成体的平均场模型中玻璃转变具有完全相同本质的转变。该模型还在敲击动力学下进行了三维模拟，观察到了具有玻璃态特征的堵塞转变。特别是，弛豫函数中出现了两步衰减，并且观察到了类似于通常在玻璃态系统中观察到的动态不均匀性。这些结果证实了早期关于颗粒介质中的堵塞转变与普通玻璃形成体中的玻璃转变之间联系的推测，此外还对其本质给出了精确解释。
