Direct determination of the size of basins of attraction of jammed solids.
Direct determination of the size of basins of attraction of jammed solids.
复制标题
DOI：
10.1103/physrevlett.106.245502
复制
发表时间：
2011-01
影响因子：
8.6
通讯作者：
N. Xu;D. Frenkel;Andrea J. Liu
中科院分区：
文献类型：
--
作者：
N. Xu;D. Frenkel;Andrea J. Liu
我们提出了一种基于自由能的蒙特卡罗方法来测量位形空间中势能盆的体积。使用这种方法，我们可以估计不同的势能最小值的数量，即使这个数量太大而无法直接采样。我们验证我们的方法，通过比较我们的结果与直接枚举的不同的堵塞状态的小包装的无摩擦球。我们发现，不同的包装的熵是广泛的，不同的硬球包装的熵必须有一个最大值作为包装分数的函数。
We propose a free-energy-based Monte Carlo method to measure the volume of potential-energy basins in configuration space. Using this approach we can estimate the number of distinct potential-energy minima, even when this number is much too large to be sampled directly. We validate our approach by comparing our results with the direct enumeration of distinct jammed states in small packings of frictionless spheres. We find that the entropy of distinct packings is extensive and that the entropy of distinct hard-sphere packings must have a maximum as a function of packing fraction.