Statistical-Mechanical Theory of One-Dimensional Gases with Short-Range and Long-Range Intermolecular Forces.V.Intersection and Inversion of Isotherms of the Water Type

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The detailed behaviour of isotherms is investigated for the one-dimensional gasmodel proposed and discussed by Ikeda in paper I; the model consists of moleculeswith hard cores, short-range (square-potential) repulsions and infinitely-long-range attractions (given by the potential -2a7L, v=positive constant, L=length of the gas).On the basis of R (region of negative pressure coefficient), the intersection and inversion of isotherms in the P'-l' plane (P'=reduced pressure, /'=reduced specificvolume) are studied, in connection with the phase transitions. The interaction conslants o' and a' are so chosen as to represent the features of water. Correspondencebetween diagrams in the T'-l', P'-T' and P'-l' planes (7"=reduced temperature),including R and R' (region of negative thermal expansivity), is discussed. Thebehaviour of isotherms in the liquid phase for this model explains the anomalies ofliquid water.
社団法人日本物理学会の論文
1990-12-15