Cell Theory of Classical Liquid. : Phase Transition between Gas, Liquid and Solid. Parts I and II.

概要

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The cell theories of liquid in the past have assumed that the molecules are localized near the centers of cells. In this respect, they may be considered as the theories for solid. In this article, the correlations between the occupations in neighboring cells are taken into account in the degree of Bethe approximation. This improvement of the cell theory is shown to be followed by the transitions between gas, liquid and solid; the liquid and gas states corresponding to the states where the distribution function ρ^<(1)>(r) is constant throughout the volume of the system, and the solid state to the state where the distribution function ρ^<(1)>(r) is localized near the centers of cells. The development of the theory is based on the cluster variation method for cooperative phenomena in the cell pair approximation. For the illustrative purpose, the method is first applied to a system of square lattice gas. The numerical calculations are performed for the oritical point, phase diagram and second Virial coefficient in a very rough approximation, where the intermolecular potential of Lennard-Jones (6-12) type is used.
一般社団法人日本物理学会の論文
1957-11-05