Statistical Theory of Phase Transition. II Numerical Calculation for Lattice Gas

概要

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Applying our theory derived in Part 1, we numerically calculate, in this paper, the pressure and the densities (vapor and liquid) at the transition point of a lattice gas (having a square lattice type) for some ranges of temperature (or some values of x). Our values calculated from the molecular cluster method agree well with the exact values obtained by the matrix method. For small values of x (for example, x=0.3 or T/T_c=0.7321), the values of partition function are given as a function of q. The isotherm obtained from these values has the portion parallel to v-axis (corresponding to P=constant) and at both ends of this portion the derivatives of the isotherm are discontinuous. Furthermore, we show that the system in question has qualitatively the above properties also for larger values of x (x<x_c).
社団法人日本物理学会の論文
1954-08-25