Prog. Theor. Phys. Vol. 48 No. 5 (1972) pp. 1474-1492

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A Simplified Theory of Liquid-Solid Transitions. III

— Hard-Core Transitions —

Hazime Mori, Shiro Isa, Hisao Okamoto and Hiroshi Furukawa

Department of Physics, Kyushu University, Fukuoka

(Received April 11, 1972)

Abstract:

The hard-sphere transition predicted by computer experiments is theoretically studied with the aid of the expandable-lattice theory of liquid-solid transitions developed in previous two papers. The freezing and melting points are thus given in the mean energy approximation by P/kT_{ρ_c} = 2.3577, ρ_f/ρ_c = 0.6819, ρ_m/ρ_c = 0.9053, where ρ_c is the closest-packed density √2/r₀³, r₀ being the core diameter.
Characteristic features of the hard-sphere transition are clarified in comparison with fluid-solid transitions in the systems of molecules interacting with the soft-core potentials (r₀/r)ⁿ, (12 ≦ n < ∞). Thus a unifying viewpoint is obtained for treating phase transitions in the Lennard-Hones, soft-core and hard-core systems.

URL : http://ptp.ipap.jp/link?PTP/48/1474/
DOI : 10.1143/PTP.48.1474

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Citing Article(s) :

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A Simplified Theory of Liquid-Solid Transitions. IV

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Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 385-396 :
Crystal Instability and Premelting Phenomena

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Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1024-1037 :
On a Hard-Sphere Crystal

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Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 941-957 :
Monte Carlo Studies of Lattice Models

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Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1584-1596 :
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