Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model
Abstract
We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on d in any dimension d≥2. Under the assumptions regarding the finite-volume log-Sobolev constant and the 1-arm exponent of the critical 1-spin expectation, we show that the equal-position temporal spin correlation function decays polynomially fast in time.
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