Thermal fluctuations and phase diagrams of the phase-field crystal model with pinning

J.A.P. Ramos, E. Granato, C.V. Achim, S.C. Ying, K.R. Elder, T. Ala-Nissila

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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 nonconserved 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 liquidlike phases with a topology strongly dependent on the type of ordered structure. A finite-size scaling analysis of the melting transition for the c(2×2) commensurate phase shows that the thermal correlation length exponent ν and specific heat behavior are consistent with the Ising universality class as expected from analytical arguments.
Original languageEnglish
Article number031109
Pages (from-to)1-7
JournalPhysical Review E
Issue number3
Publication statusPublished - 2008
MoE publication typeA1 Journal article-refereed


  • order disorder phase transition


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