Dislocations and melting in two and three dimensions

Jeffery L. Tallon
Phys. Rev. B 22, 453 – Published 1 July 1980
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Abstract

Comments are presented on the recent theories of two-dimensional melting which envisage melting as proceeding via two second-order transitions comprising dislocation dipole dissociation followed by disclination dipole dissociation. It is suggested that if the configurational entropy is properly included, the model system may jump discontinuously from a volume below the dislocation transition to a volume above the disclination transition so that both transitions are virtual and are hidden in the first-order discontinuity. A reinterpretation of the recent molecular-dynamics simulation of two-dimensional melting of Frenkel and McTague, reveals that such is the case for a Lennard-Jones system. There may be no fundamental difference between two-and three-dimensional melting.

  • Received 7 May 1979

DOI:https://doi.org/10.1103/PhysRevB.22.453

©1980 American Physical Society

Authors & Affiliations

Jeffery L. Tallon*

  • Department of Structural Properties of Materials, The Technical University of Denmark, Building 307, DK-2800 Lyngby, Denmark

  • *Permanent address: Physics and Engineering Laboratory, Department of Scientific and Industrial Research, Private Bag, Lower Hutt, New Zealand.

Original Article

Study of melting in two dimensions

David R. Nelson
Phys. Rev. B 18, 2318 (1978)

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Issue

Vol. 22, Iss. 1 — 1 July 1980

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