Henkes Silke, O'Hern Corey S, Chakraborty Bulbul
Martin Fisher School of Physics, Brandeis University, Waltham, Massachusetts 02454-9110, USA.
Phys Rev Lett. 2007 Jul 20;99(3):038002. doi: 10.1103/PhysRevLett.99.038002.
We construct a statistical framework for static assemblies of deformable grains which parallels that of equilibrium statistical mechanics but with a conservation principle based on the mechanical stress tensor. We define a state function that has all the attributes of entropy. In particular, maximizing this function leads to a well-defined granular temperature and the equivalent of the Boltzman distribution for ensembles of grain packings. Predictions of the ensemble are verified against simulated packings of frictionless, deformable disks.
我们构建了一个适用于可变形颗粒静态集合体的统计框架，该框架与平衡统计力学的框架类似，但基于机械应力张量有一个守恒原理。我们定义了一个具有熵的所有属性的状态函数。特别地，最大化这个函数会得到一个定义明确的颗粒温度以及颗粒堆积集合体的等效玻尔兹曼分布。该集合体的预测结果通过无摩擦、可变形圆盘的模拟堆积进行了验证。
