Critical nonequilibrium cluster-flip relaxations in Ising models

Yusuke Tomita, Yoshihiko Nonomura

研究成果: Article

抄録

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.

元の言語English
記事番号052110
ジャーナルPhysical Review E
98
発行部数5
DOI
出版物ステータスPublished - 2018 11 12

Fingerprint

Ising model
critical point
exponential functions
scaling

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

これを引用

Critical nonequilibrium cluster-flip relaxations in Ising models. / Tomita, Yusuke; Nonomura, Yoshihiko.

:: Physical Review E, 巻 98, 番号 5, 052110, 12.11.2018.

研究成果: Article

@article{e91b34a36ba64296a13566f9a45a5bc7,
title = "Critical nonequilibrium cluster-flip relaxations in Ising models",
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.",
author = "Yusuke Tomita and Yoshihiko Nonomura",
year = "2018",
month = "11",
day = "12",
doi = "10.1103/PhysRevE.98.052110",
language = "English",
volume = "98",
journal = "Physical review. E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Critical nonequilibrium cluster-flip relaxations in Ising models

AU - Tomita, Yusuke

AU - Nonomura, Yoshihiko

PY - 2018/11/12

Y1 - 2018/11/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85056671838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85056671838&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.98.052110

DO - 10.1103/PhysRevE.98.052110

M3 - Article

AN - SCOPUS:85056671838

VL - 98

JO - Physical review. E

JF - Physical review. E

SN - 1539-3755

IS - 5

M1 - 052110

ER -