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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Ramos, J. A. P. [1, 2] ; Granato, E. [1, 3] ; Achim, C. V. [4] ; Ying, S. C. [3] ; Elder, K. R. [5] ; Ala-Nissila, T. [4, 3]
Total Authors: 6
Affiliation:
[1] Inst Nacl Pesquisas Espaciais, Lab Associado Sensores & Mat, BR-12245970 Sao Paulo - Brazil
[2] Univ Estadual Sudoeste Bahia, Dept Ciencias Exatas, BR-45000000 Vitoria Da Conquista, BA - Brazil
[3] Brown Univ, Dept Phys, Providence, RI 02912 - USA
[4] Helsinki Univ Technol, Dept Engn Phys, FIN-02015 Espoo - Finland
[5] Oakland Univ, Dept Phys, Rochester, MI 48309 - USA
Total Affiliations: 5
Document type: Journal article
Source: Physical Review E; v. 78, n. 3, 1 SEP 2008.
Web of Science Citations: 19
Abstract

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 x 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. (AU)

FAPESP's process: 07/08492-9 - Dynamics, topological defects and phase transitions in ordered media
Grantee:Enzo Granato
Support type: Research Projects - Thematic Grants