Statistical-Mechanical Theory of One-Dimensional Gases with Short-Range and Long-Range Intermolecular Forces.III.Phase Transitions at Finite Temperatures in the Case of Repulsive Short-Range Interaction

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Numerical calculations of the equation of state are made for the one-dimensionalgas model proposed and discussed by Ikeda in the preceding papers I and II. Themodel consists of molecules with hard cores, short-range (square-potential) repul-sions and infinitely-long-range attractions (given by the potential -2a/L, a=positiveconstant, Z,=length of the gas). For this model it is exactly shown that, forsufficiently weak attractions, the gas-liquid and liquid-solid transitions occur at allsufficiently low temperatures (as in helium), and tFnat, in a certain range of strengthsof attraction, only the gas-solid transition occurs at all temperatures lower thanT.(=triple point) and the gas-liquid and liquid-solid transitions occur at temperatureshigher than T. but lower than a certain temperature (as in usual substances in nature),and that, for sufficiently strong attractions, only one transition occurs, as in a van derWaals gas.
社団法人日本物理学会の論文
1988-07-15