English

Relaxation time is monotone in temperature in the mean-field Ising model

Probability 2012-03-26 v1

Abstract

In this note we consider the Glauber dynamics for the mean-field Ising model, when all couplings are equal and the external field is uniform. It is proved that the relaxation time of the dynamics is monotonically decreasing in temperature.

Keywords

Cite

@article{arxiv.1103.0327,
  title  = {Relaxation time is monotone in temperature in the mean-field Ising model},
  author = {Vladislav Kargin},
  journal= {arXiv preprint arXiv:1103.0327},
  year   = {2012}
}

Comments

Accepted to Statistics and Probability Letters