Lattice Model of Quantum Melting
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概要
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Solid-liquid transition is studied in classical and quantum regions, using a quantized version of the lattice model proposed by Lennard-Jones and Devonshire. We take an example of Bose particles which interact through a soft core potential ε(r)=ε_0(σ_0/r)^n, where ε_0 and σ_0 are the constants with the dimensions of energy and length, respectively. It is shown that two diffefent mechanisms give rise to the melting. One is a thermal effect and the other is a quantum effect. The phase diagram has a quite different pattern depending on whether a core softness parameter n is larger or smaller than two. If n is larger than two, the melting curve extends infinitely, whereas if n is smaller than two, it has a closed loop. We apply our theory to helium 4 to calculate the phase diagram and several thermodynamic properties. Most of the results can reproduce experimental results qualitatively.
- 理論物理学刊行会の論文
- 1980-08-25
著者
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Kawamura Hikaru
Department Of Earth And Space Science Faculty Of Science Osaka University
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KAWAMURA Hikaru
Department of Physics, University of Tokyo
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