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Prog. Theor. Phys. Vol. 52 No. 2 (1974) pp. 385-396

[ Full Text PDF : FREE ACCESS (915K) ]

Crystal Instability and Premelting Phenomena

Katsuya Honda

Department of Applied Physics, Nagoya University, Nagoya

(Received January 14, 1974)

Abstract:

On the basis of the cell model, the atomic distribution in each cell in a solid system consisting of N atoms is discussed to investigate the solid-liqud transition. In the crystalline phase the atomic density is well localized around each lattice site and there is a periodic lattice structure in the system as a whole. The cluster veriation method in the second order approximation is applied to derivation of a set of self-consistent equations determining the effective single particle potential, by means of which the single-particle distribution in each cell is obtained. The effective potential is influenced by the long-range and short-range atomic correlations in the system. One of the purposes of this paper is to discuss the premelting phenomena, as a primary investigation. The harmonic Einstein model, in which the short-range correlation is not taken into account, cannot lead to the uniform distribution as a solution of the self-consistent equations. The temperature dependence of the effective harmonic frequencies is investigated for a simple system in which the interaction potential consists of hard-core and attractive-well parts. Above a certain critical temperature, this harmonic potential disappears and therefore the crystalline phase can no longer exist as a stable state. It is seen from the temperature dependence of the effective frequency that the specific heat increases more than linearly above a certain temperature and diverges as the inverse square root at the threshold temperature slightly above the melting point. It is then concluded that the premelting occurs as a precursor of the crystal instability.


URL : http://ptp.ipap.jp/link?PTP/52/385/
DOI : 10.1143/PTP.52.385

[ Full Text PDF : FREE ACCESS (915K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 889-891 :
    Statistical-Mechanical Approach to Solid-Liquid Transition in Hard Disc System
    Katsuya Honda
  2. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1024-1037 :
    On a Hard-Sphere Crystal
    Katsuya Honda

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