The dynamics of the Sherrington-Kirkpatrick model at T=0 starting from random spin configurations is considered. The metastable states reached by such dynamics are atypical of such states as a whole, in that the probability density of site energies, p(lambda), is small at lambda=0. Since virtually all metastable states have a much larger p(0), this behavior demonstrates a qualitative failure of the Edwards hypothesis. We look for its origins by modeling the changes in the site energies during the dynamics as a Markov process. We show how the small p(0) arises from features of the Markov process that have a clear physical basis in the spin glass, and hence explain the failure of the Edwards hypothesis.
|Number of pages||4|
|Journal||Physical review B: Condensed matter and materials physics|
|Publication status||Published - Jul 2006|
- ZERO-TEMPERATURE DYNAMICS
- GRANULAR MATTER