Fate of Zero-Temperature Ising Ferromagnets
Statistical Mechanics
2009-10-31 v1
Abstract
We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is apparently reached approximately 1/4 of the time, while the ground state is reached otherwise. The asymptotic relaxation is characterized by two distinct time scales, with the longer stemming from the influence of a long-lived diagonal stripe ``defect''. In greater than two dimensions, the probability to reach the ground state rapidly vanishes as the size increases and the system typically ends up wandering forever within an iso-energy set of stochastically ``blinking'' metastable states.
Cite
@article{arxiv.cond-mat/0008019,
title = {Fate of Zero-Temperature Ising Ferromagnets},
author = {V. Spirin and P. L. Krapivsky and S. Redner},
journal= {arXiv preprint arXiv:cond-mat/0008019},
year = {2009}
}
Comments
4 pages in column format, 6 figures