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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1209.5898cond-mat.stat-mech
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具有两个相变的一维类水反常模型

A one-dimensional model with water-like anomalies and two phase transitions

Lotta Heckmann, Barbara Drossel

摘要:

我们研究了一个一维模型,显示了水的几个属性。该模型结合了范德瓦尔斯模型的长程吸引力和Ben-Naim的最近邻相互作用势,这是一种包括硬核和势阱的阶跃势。从配分函数的解析表达式出发,用数值方法确定了吉布斯自由能等热力学量。该模型显示了两个相变,这可以被解释为液-气转变和高密度和低密度液体之间的转变。在零温度下,低密度液体进入结晶相。此外,我们发现了几个被认为是水的特征异常。我们探讨了广泛的压力和温度值和依赖的结果的深度和宽度的势阱。

英文摘要:

We investigate a one-dimensional model that shows several properties of water. The model combines the long-range attraction of the van der Waals model with the nearest-neighbor interaction potential by Ben-Naim, which is a step potential that includes a hard core and a potential well. Starting from the analytical expression for the partition function, we determine numerically the Gibbs energy and other thermodynamic quantities. The model shows two phase transitions, which can be interpreted as the liquid-gas transition and a transition between a high-density and a low-density liquid. At zero temperature, the low-density liquid goes into the crystalline phase. Furthermore, we find several anomalies that are considered characteristic for water. We explore a wide range of pressure and temperature values and the dependence of the results on the depth and width of the potential well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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