Classical statistical mechanics of a rectilinear assembly
Classical statistical mechanics of a rectilinear assembly
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直线装配的经典统计力学
DOI：
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发表时间：
1950
影响因子：
0.8
通讯作者：
H. Jones
中科院分区：
文献类型：
--
作者：
F. Gürsey;H. Jones
结果表明，具有短程引力的球状分子直线组合的所有经典热力学性质和状态方程都可以从一个配分函数得到，该配分函数是压力和温度的解析函数。热力学函数简单地与函数e−E(X)/(KT)的拉普拉斯变换有关，其中E(X)是两个相邻分子之间的相互作用能。虽然这个线性模型在高温下表现为理想气体，在绝对零度附近表现为晶体，但由于配分函数的解析性质，没有临界现象。但指出，在很低的温度下，等温曲线的斜率会发生非常剧烈的变化，这可以解释为相变，并用一个例子说明了这一点。最后，我要衷心感谢琼斯教授对这项工作的指导和他自始至终提出的宝贵意见。我还要感谢土耳其教育部颁发奖学金。
It is shown that all the classical thermodynamical properties and the equation of state of a rectilinear assembly of spherical molecules with short-range attractive forces acting only between neighbours can be derived from a single partition function which is an analytic function of the pressure and the temperature. The thermodynamical functions are simply related to the Laplace transform of the function e−E(x)/(kT), where E(x) is the interaction energy between two neighbouring molecules. Although this linear model behaves like a perfect gas at high temperatures and like a crystal near the absolute zero, there are no critical phenomena, owing to the analytic character of the partition function. It is, however, pointed out that at very low temperatures the slope of the isothermal curves can suffer extremely sharp changes which may be interpreted as changes of phase, and this point is illustrated by an example. Finally, I should like to express my sincere gratitude to Prof. H. Jones for his guidance of this work and for his invaluable advice throughout. My thanks are also due to the Turkish Ministry of Education for the award of a scholarship.