Relaxation processes in a system with logarithmic growth
arXiv:1502.00474 · doi:10.1103/PhysRevE.91.052116
Abstract
We discuss relaxation and aging processes in the one- and two-dimensional models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long time limit by a logarithmic growth of ordered domains that take the form of stripes. From the time-dependent length, derived from the equal-time spatial correlator, and from the mean displacement of individual particles different regimes in the formation and growth of these domains can be identified. Analysis of two-times correlation and response functions reveals dynamical scaling in the asymptotic logarithmic growth regime as well as complicated finite-time and finite-size effects in the early and intermediate time regimes.
25 pages, 11 figures, accepted for publication in Physical Review E
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