距离几何：小体系固液相变的一种直观帮助
Distance Geometry: A Viewing Help for the Solid-Liquid Phase Transition in Small Systems
摘要：
距离几何是研究空间中点的排列，只使用它们之间的相互距离。这封信的基本思想是利用距离几何对微正则系综中的小团簇进行热力学研究。这些距离上有限制，这被证明可以解释在包含3或4个原子的非常小的簇中热量曲线的一些特征。我们预计，这种方法可以提供一个新的见解相变在较大的集群以及。在这些研究中，我们建立了一个非常普遍和相当简单的结果，雅可比行列式的变量从笛卡尔坐标到相互距离的变化，这是广泛适用于N体问题。
英文摘要：
Distance geometry is the study of the arrangements of points in space using only the mutual distances between them. The basic idea in this letter is to use distance geometry for thermodynamics studies of small clusters in the microcanonical ensemble. There are constraints on these distances, which are shown to explain some characteristic features of the caloric curve in very small clusters containing 3 or 4 atoms. We anticipate that this approach could give a novel insight into the phase transitions in larger clusters as well. During these studies, we have established a very general and rather simple result for the Jacobian determinant of the change of variables from Cartesian coordinates to mutual distances, which is of wide applicability in the N-body problem.
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