Theory of Melting Transition : Similarity in the Configurational Phase Space

概要

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Two hypotheses are proposed in order to explain the melting phenomena of a simple liquid. The first one states that the dimensionless configurational integral of a simple liquid near the melting point is a functional of the corresponding quantity calculated as if the system were in the solid phase. It is shown that this is rigorously the case when the intermolecular force is described by the single inverse-power potential. It is also shown that our first hypothesis is nearly consistent with Ross' criterion for melting. In deriving an explicit form of the partition function near the solid-liquid transition point, the second hypothesis is introduced. Our partition function is shown to describe the solid state as well as the liquid state of matter and also the transition between them. Calculated equations of state, melting curves, volume change at the melting transition and the latent heat of melting are compared with the computer experiments on the Lennard-Jones system.
理論物理学刊行会の論文
1971-06-25