Berthier Ludovic, Jacquin Hugo, Zamponi Francesco
Laboratoire Charles Coulomb, UMR 5221, CNRS and Université Montpellier 2, Montpellier, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 1):051103. doi: 10.1103/PhysRevE.84.051103. Epub 2011 Nov 8.
We develop a microscopic theory to analyze the phase behavior and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a situation relevant for granular materials and emulsions. We use a mean-field statistical mechanical approach which combines elements of liquid state theory to replica calculations to obtain quantitative predictions for the location of phase boundaries, macroscopic thermodynamic properties, and microstructure of the system. We focus, in particular, on the derivation of scaling properties emerging in the vicinity of the jamming transition occurring at large density and zero temperature. The new predictions we obtain for pair correlation functions near contact are tested using computer simulations. Our work also clarifies the conceptual nature of the jamming transition and its relation to the phenomenon of the glass transition observed in atomic liquids.
我们发展了一种微观理论，以分析软排斥粒子致密集合体的相行为，并计算其在有限温度下（如在胶体材料中）以及在零温度下（这种情况与颗粒材料和乳液相关）的关联函数。我们采用一种平均场统计力学方法，该方法将液态理论的元素与复制计算相结合，以获得关于相边界位置、宏观热力学性质和系统微观结构的定量预测。我们特别关注在大密度和零温度下发生的堵塞转变附近出现的标度性质的推导。我们使用计算机模拟来检验我们在接触附近对成对关联函数获得的新预测。我们的工作还阐明了堵塞转变的概念本质及其与在原子液体中观察到的玻璃转变现象的关系。
