Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model

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Autore principale:	Hu, Haoran
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Probability Mathematical Physics 60J27, 60J46, 60K35
Accesso online:	Acceder al recurso
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_version_	1866916738992439296
author	Hu, Haoran
author_facet	Hu, Haoran
contents	We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on $\Z^{d}$ in any dimension $d\geq2$. 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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2410_23974
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model Hu, Haoran Probability Mathematical Physics 60J27, 60J46, 60K35 We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on $\Z^{d}$ in any dimension $d\geq2$. 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.
title	Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model
topic	Probability Mathematical Physics 60J27, 60J46, 60K35
url	https://arxiv.org/abs/2410.23974

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