Slow Coarsening in a Class of Driven Systems

Details Slow Coarsening in a Class of Driven Systems Slow Coarsening in a Class of Driven Systems

2000-04-03

arxiv.org/abs/cond-mat/0004014v1

Euro. Phys. J. B 16 (2000) 669

Physics

Condensed Matter

Statistical Mechanics

submitted to EPJB, 13 pages

Scientific paper

The coarsening process in a class of driven systems is studied. These systems have previously been shown to exhibit phase separation and slow coarsening in one dimension. We consider generalizations of this class of models to higher dimensions. In particular we study a system of three types of particles that diffuse under local conserving dynamics in two dimensions. Arguments and numerical studies are presented indicating that the coarsening process in any number of dimensions is logarithmically slow in time. A key feature of this behavior is that the interfaces separating the various growing domains are smooth (well approximated by a Fermi function). This implies that the coarsening mechanism in one dimension is readily extendible to higher dimensions.

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