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

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

2011-03-02

arxiv.org/abs/1103.0327v1

Statistics and Probability Letters (2011), 81, 1094-1097

Mathematics

Probability

Accepted to Statistics and Probability Letters

Scientific paper

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.

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