We consider zero-temperature, stochastic Ising models σt with nearest-neighbor interactions and an initial spin configuration σ0 chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether σ∞ exists, i.e., whether each spin flips only finitely many times as t→∞ (for almost every σ0 and realization of the dynamics), or if not, whether every spin - or only a fraction strictly less than one - flips infinitely often, depends on the nature of the couplings, the dimension, and the lattice type. We review results, examine open questions, and discuss related topics.
|Original language||English (US)|
|Number of pages||10|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1 2000|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics