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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.)

Nonlinear driven response of a phase-field crystal in a periodic pinning potential

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Author(s):
Achim, C. V. [1] ; Ramos, J. A. P. [2, 3] ; Karttunen, M. [4] ; Elder, K. R. [5] ; Granato, E. [3, 6] ; Ala-Nissila, T. [6, 1] ; Ying, S. C. [6]
Total Authors: 7
Affiliation:
[1] Aalto Univ, Dept Appl Phys, FIN-02015 Espoo - Finland
[2] Univ Estadual Sudoeste Bahia, Dept Ciencias Exatas, BR-45000000 Vitoria Da Conquista, BA - Brazil
[3] Inst Nacl Pesquisas Espaciais, Lab Associado Sensores & Mat, Sao Paulo - Brazil
[4] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7 - Canada
[5] Oakland Univ, Dept Phys, Rochester, MI 48309 - USA
[6] Brown Univ, Dept Phys, Providence, RI 02912 - USA
Total Affiliations: 6
Document type: Journal article
Source: Physical Review E; v. 79, n. 1, 1 JAN 2009.
Web of Science Citations: 22
Abstract

We study numerically the phase diagram and the response under a driving force of the phase field crystal model for pinned lattice systems introduced recently for both one- and two-dimensional systems. The model describes the lattice system as a continuous density field in the presence of a periodic pinning potential, allowing for both elastic and plastic deformations of the lattice. We first present results for phase diagrams of the model in the absence of a driving force. The nonlinear response to a driving force on an initially pinned commensurate phase is then studied via overdamped dynamic equations of motion for different values of mismatch and pinning strengths. For large pinning strength the driven depinning transitions are continuous, and the sliding velocity varies with the force from the threshold with power-law exponents in agreement with analytical predictions. Transverse depinning transitions in the moving state are also found in two dimensions. Surprisingly, for sufficiently weak pinning potential we find a discontinuous depinning transition with hysteresis even in one dimension under overdamped dynamics. We also characterize structural changes of the system in some detail close to the depinning transition. (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