On a modified Lindemann-like criterion for 2D melting

By means of a molecular dynamics simulation the existence of a Lindemann-like criterion for 2D melting is proved. The criterion is the constancy of the value γ M c ≡ 〈[ u( R + a 0)− u( R)] 2〉 a 2 along the melting curve; this value being practically independent of the nature of a 2D classical crysta...

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Bibliographic Details
Published in:Physics letters. A 1985-01, Vol.109 (6), p.289-291
Main Authors: Bedanov, V.M., Gadiyak, G.V., Lozovik, Yu.E.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Equations of state, phase equilibria, and phase transitions
Exact sciences and technology
General studies of phase transitions
Physics
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Summary:By means of a molecular dynamics simulation the existence of a Lindemann-like criterion for 2D melting is proved. The criterion is the constancy of the value γ M c ≡ 〈[ u( R + a 0)− u( R)] 2〉 a 2 along the melting curve; this value being practically independent of the nature of a 2D classical crystal (the Lindemann constant is infinite for a 2D crystal in the thermodynamical limit). For 2D dipole and 2D Lennard-Jones crystals γ M c = 0.12. For a 2D electron crystal γ M c ≈ 0.10. These values are consistent with the results of calculations in the framework of the phonon-mediated melting theory.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(85)90617-6