English

Metastability for the Ising Model on the hypercube

Probability 2015-09-01 v1

Abstract

We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model set on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration with a "-1" at every vertex, to the configuration with a "+1" at each vertex) in the limit as the inverse temperature β\beta\rightarrow\infty.

Keywords

Cite

@article{arxiv.1508.07769,
  title  = {Metastability for the Ising Model on the hypercube},
  author = {Oliver Jovanovski},
  journal= {arXiv preprint arXiv:1508.07769},
  year   = {2015}
}

Comments

16 pages

R2 v1 2026-06-22T10:45:06.474Z