Physics – Condensed Matter – Materials Science
Scientific paper
2008-08-23
Phys. Rev. E 78, 031109 (2008)
Physics
Condensed Matter
Materials Science
8 pages, 9 figures, to appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.78.031109
We study the influence of thermal fluctuations in the phase diagram of a recently introduced two-dimensional phase field crystal model with an external pinning potential. The model provides a continuum description of pinned lattice systems allowing for both elastic deformations and topological defects. We introduce a non-conserved version of the model and determine the ground-state phase diagram as a function of lattice mismatch and strength of the pinning potential. Monte Carlo simulations are used to determine the phase diagram as a function of temperature near commensurate phases. The results show a rich phase diagram with commensurate, incommensurate and liquid-like phases with a topology strongly dependent on the type of ordered structure. A finite-size scaling analysis of the melting transition for the $c(2 \times 2)$ commensurate phase shows that the thermal correlation length exponent $\nu$ and specific heat behavior are consistent with the Ising universality class as expected from analytical arguments.
Achim C. V.
Ala-Nissila Tapio
Elder K. R.
Granato Enzo
Ramos J. A. P.
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