Critical nonequilibrium cluster-flip relaxations in Ising models

Yusuke Tomita and Yoshihiko Nonomura
Phys. Rev. E 98, 052110 – Published 12 November 2018

Abstract

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.

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  • Received 20 August 2018

DOI:https://doi.org/10.1103/PhysRevE.98.052110

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Yusuke Tomita

  • College of Engineering, Shibaura Institute of Technology, Saitama, Saitama 337-8570, Japan

Yoshihiko Nonomura

  • International Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba, Ibaraki 305-0044, Japan

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Issue

Vol. 98, Iss. 5 — November 2018

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