Complete graph and Gaussian fixed point asymptotics in the five-dimensional Fortuin-Kasteleyn Ising model with periodic boundaries

Autor:	Sheng Fang, Youjin Deng, Zongzheng Zhou, Jens Grimm
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Statistical Mechanics (cond-mat.stat-mech) Complete graph FOS: Physical sciences Gaussian fixed point Markov chain Monte Carlo Torus symbols.namesake symbols Periodic boundary conditions Ising model Statistical physics Scaling Condensed Matter - Statistical Mechanics Mathematics Physical quantity
Popis:	We present an extensive Markov-chain Monte Carlo study of the finite-size scaling behavior of the Fortuin-Kasteleyn Ising model on five-dimensional hypercubic lattices with periodic boundary conditions. We observe that physical quantities, which include the contribution of the largest cluster, exhibit complete graph asymptotics. However, for quantities, where the contribution of the largest cluster is removed, we observe that the scaling behavior is mainly controlled by the Gaussian fixed point. Our results therefore suggest that \textit{both} scaling predictions, i.e. the complete graph \textit{and} the Gaussian fixed point asymptotics, are needed to provide a complete description for the five-dimensional finite-size scaling behavior on the torus. 7 pages, 7 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b01813f521bb6ebe7f8852d9b15528c http://arxiv.org/abs/1909.04328 Zobrazit plný text záznamu