Grain-Boundary Theory of Melting in Two Dimensions
- 5 April 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 48 (14), 933-935
- https://doi.org/10.1103/physrevlett.48.933
Abstract
A quantitative theory of melting in two dimensions via the spontaneous generation of grain boundaries is presented. It is found that as the temperature is increased, grain boundaries are generated before the dislocations unbind. Also discussed are (a) the nature of the transition, (b) the coupling of the grain boundaries to a density change, (c) the existence of a hexatic phase, and (d) comparisions with recent computer simulations.Keywords
This publication has 9 references indexed in Scilit:
- Phase Transitions in a Two-Dimensional SystemPhysical Review Letters, 1980
- Melting in Two Dimensions is First Order: An Isothermal-Isobaric Monte Carlo StudyPhysical Review Letters, 1980
- Defects in the two-dimensional electron solid and implications for meltingPhysical Review B, 1979
- Evidence for an Orientationally Ordered Two-Dimensional Fluid Phase from Molecular-Dynamics CalculationsPhysical Review Letters, 1979
- Theory of Two-Dimensional MeltingPhysical Review Letters, 1978
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973
- Soluble Model for Fibrous Structures with Steric ConstraintsThe Journal of Chemical Physics, 1968
- Dislocation Models of Crystal Grain BoundariesPhysical Review B, 1950
- Note on the theory of liquidsTransactions of the Faraday Society, 1939