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Phys. Rev. B 75, 115412 (2007) [6 pages]

Domain growth in the interacting adsorbate: Nonsymmetric particle jump model

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Magdalena A. Załuska-Kotur
Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland and Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszynski University, Dewajtis 5, 01-815 Warsaw, Poland

Stanislaw Krukowski
High Pressure Research Center, Polish Academy of Sciences, Sokołowska 29/37, 01-142 Warsaw, Poland and Interdisciplinary Centre for Materials Modelling, Warsaw University, Pawinskiego 5a, 02-106 Warsaw, Poland

Andrzej Łusakowski
Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland

Łukasz A. Turski
Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland and Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszynski University, Dewajtis 5, 01-815 Warsaw, Poland

Received 4 August 2006; revised 6 November 2006; published 14 March 2007

We show that an exponent of a powerlike time domain growth is determined not only by the conservation or nonconservation of the order parameter, but also by the asymmetry of single-particle jumps. Domains that have an anisotropic pattern, such as (2×1), have a tendency to grow faster in a certain direction than they do in others. The rate of expansion in different directions depends on the barriers for single-particle jumps. As a result, dynamical behavior of systems which start in the same configurations and eventually reach the same equilibrium states is completely different. We show how differences in microscopic dynamics in a one-dimensional Potts model lead to different rates of domain growth. We observe a similar effect for a two-dimensional (2×1) ordering by changing the way in which a barrier for a jump depends on the number of neighboring particles. We show examples of the domain power growth, which are characterized by different exponents.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.115412
DOI:
10.1103/PhysRevB.75.115412
PACS:
66.30.Pa, 02.50.Ga, 66.10.Cb, 68.43.Jk