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

Vladislav Kargin ()

Statistics & Probability Letters, 2011, vol. 81, issue 8, 1094-1097

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: Ising; model; Glauber; dynamics; Spectral; gap; Mean-field; model; Monotonicity; conjecture (search for similar items in EconPapers)
Date: 2011
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