Exact Solution of a Phase Separation Model with Conserved Order Parameter Dynamics
Condensed Matter
2014-10-13 v1 High Energy Physics - Lattice
Abstract
Pairwise particle-exchange model on a linear lattice is solved exactly by a new rate-equation method. Lattice sites are occupied by particles A and B which can exchange irreversibly provided the local energy in reduced. Thus, the model corresponds to a zero-temperature Kawasaki-type phase separation process. Due to local order-parameter conservation, the dynamics reaches a frozen state at large times, the structure of which depends on the initial conditions.
Cite
@article{arxiv.cond-mat/9210002,
title = {Exact Solution of a Phase Separation Model with Conserved Order Parameter Dynamics},
author = {Vladimir Privman},
journal= {arXiv preprint arXiv:cond-mat/9210002},
year = {2014}
}
Comments
10 pages (plain TeX), 1 figure (PostScript)