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Prog. Theor. Phys. Vol. 66 No. 2 (1981) pp. 421-436

[ Full Text PDF : FREE ACCESS (621K) ]

Lattice Model of Quantum Melting. II

Hikaru Kawamura

Department of Physics, University of Tokyo, Tokyo 113

(Received January 12, 1981)

Abstract:

Solid-liquid transition of a many-body Fermi system interacting through a soft core potential is studied in classical and quantum regions by using a quantized version of the lattice model proposed by Lennard-Jones and Devonshire. In comparison with the previous results for a Bose system (Prog. Theor. Phys. 64 (1980), 419.), the effect of statistics in the melting transition is investigated systematically. It is shown that the Fermi statistics makes the solid phase more stable compared with the Bose statistics. It is also shown that the melting curve of a Fermi system has a characteristic structure which is absent in that of a Bose system. We apply our theory to helium 3 and to one component plasma. In the case of helium 3, the obtained phase diagram is qualitatively similar to the experimental result showing melting density minimum phenomenon. In the case of one component plasma, the obtained phase diagram shows melting density maximum phenomenon in addition to the melting temperature maximum phenomenon.


URL : http://ptp.ipap.jp/link?PTP/66/421/
DOI : 10.1143/PTP.66.421

[ Full Text PDF : FREE ACCESS (621K) ] Citation:

References:

  1. H. Kawamuara, Prog. Theor. Phys. 64 (1980), 419[PTP].
  2. J. E. Lennard-Jones and A. F. Devonshire, Proc. Roy. Soc. A 169 (1939), 317; ibid. 170 (1939), 464.
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  7. I. Pomeranchuk, Zh. Eksp. Teor. Fiz. 20 (1950), 919.
  8. C. Kittel, Introduction to Solid State Physics, 5-th ed. (John Wiley & Sons), p. 91.
  9. R. Mochkovitch and J. P. Hansen, Phys. Lett. A 73 (1979), 35[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 772-779 :
    Crystallization of Model Neutron Matter
    Hikaru Kawamura
  2. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 764-780 :
    Phase Transition in Fermion Lattice Gas with Infinite-Ranged Interaction. I
    Hikaru Kawamura

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