Growth of order in an anisotropic Swift-Hohenberg model

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Hai Qian and Gene F. Mazenko
The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA

Received 24 July 2005; published 14 March 2006

Wehave studied the ordering kinetics of a two-dimensional anisotropic Swift-Hohenberg(SH) model numerically. The defect structure for this model issimpler than for the isotropic SH model. One finds onlydislocations in the aligned ordering striped system. The motion ofthese point defects is strongly influenced by the anisotropic natureof the system. We developed accurate numerical methods for followingthe trajectories of dislocations. This allows us to carry outa detailed statistical analysis of the dynamics of the dislocations.The average speeds for the motion of the dislocations inthe two orthogonal directions obey power laws in time withdifferent amplitudes but the same exponents. The position and velocitydistribution functions are only weakly anisotropic.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.036117
DOI:	10.1103/PhysRevE.73.036117
PACS:	05.70.Ln; 64.60.Cn; 64.60.My; 64.75.+g 05.70.Ln Nonequilibrium and irreversible thermodynamics 64.60.Cn Order–disorder transformations; statistical mechanics of model systems 64.60.My Metastable phases 64.75.+g Solubility, segregation, and mixing; phase separation YEAR: 2006
KEYWORDS:	dislocation motion, point defects, statistical analysis

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