Dislocations and melting in two and three dimensions

Jeffery L. Tallon

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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. ©1980 The American Physical Society
    Original languageEnglish
    JournalPhysical Review B
    Volume22
    Issue number1
    Pages (from-to)453-455
    ISSN2469-9950
    DOIs
    Publication statusPublished - 1980

    Bibliographical note

    Copyright (1980) by the American Physical Society.

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