Nonmonotonic relaxation in systems with reentrant-type interaction

Seiji Miyashita, Shu Tanaka, Masaki Hirano

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Recently, interesting nonmonotonic time evolution has been pointed out in the experiments by Jönsson et al. and Jonsson et al. and also in the numerical simulation by Takayama and Hukushima, where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study the mechanism of this puzzling nonmonotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits nonmonotonic temperature dependence (reentrant type). We study the time evolution of the spin correlation function after a sudden change of temperature. We find that the value of the correlation function shows nonmonotonic relaxation, and we analyze the mechanisms of the nonmonotonicity. We also point out that competition between different configurations generally causes nonmonotonic relaxation.

Original languageEnglish
Article number083001
JournalJournal of the Physical Society of Japan
Volume76
Issue number8
DOIs
Publication statusPublished - 2007 Aug
Externally publishedYes

Fingerprint

interactions
Ising model
magnetic permeability
temperature dependence
causes
configurations
simulation
temperature

Keywords

  • Decoration bond
  • Frustration
  • Ising spin system
  • Reentrant phase transition
  • Relaxation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonmonotonic relaxation in systems with reentrant-type interaction. / Miyashita, Seiji; Tanaka, Shu; Hirano, Masaki.

In: Journal of the Physical Society of Japan, Vol. 76, No. 8, 083001, 08.2007.

Research output: Contribution to journalArticle

@article{c5b1d99ea4cc4f1982e44a6358fc3013,
title = "Nonmonotonic relaxation in systems with reentrant-type interaction",
abstract = "Recently, interesting nonmonotonic time evolution has been pointed out in the experiments by J{\"o}nsson et al. and Jonsson et al. and also in the numerical simulation by Takayama and Hukushima, where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study the mechanism of this puzzling nonmonotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits nonmonotonic temperature dependence (reentrant type). We study the time evolution of the spin correlation function after a sudden change of temperature. We find that the value of the correlation function shows nonmonotonic relaxation, and we analyze the mechanisms of the nonmonotonicity. We also point out that competition between different configurations generally causes nonmonotonic relaxation.",
keywords = "Decoration bond, Frustration, Ising spin system, Reentrant phase transition, Relaxation",
author = "Seiji Miyashita and Shu Tanaka and Masaki Hirano",
year = "2007",
month = "8",
doi = "10.1143/JPSJ.76.083001",
language = "English",
volume = "76",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "8",

}

TY - JOUR

T1 - Nonmonotonic relaxation in systems with reentrant-type interaction

AU - Miyashita, Seiji

AU - Tanaka, Shu

AU - Hirano, Masaki

PY - 2007/8

Y1 - 2007/8

N2 - Recently, interesting nonmonotonic time evolution has been pointed out in the experiments by Jönsson et al. and Jonsson et al. and also in the numerical simulation by Takayama and Hukushima, where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study the mechanism of this puzzling nonmonotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits nonmonotonic temperature dependence (reentrant type). We study the time evolution of the spin correlation function after a sudden change of temperature. We find that the value of the correlation function shows nonmonotonic relaxation, and we analyze the mechanisms of the nonmonotonicity. We also point out that competition between different configurations generally causes nonmonotonic relaxation.

AB - Recently, interesting nonmonotonic time evolution has been pointed out in the experiments by Jönsson et al. and Jonsson et al. and also in the numerical simulation by Takayama and Hukushima, where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study the mechanism of this puzzling nonmonotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits nonmonotonic temperature dependence (reentrant type). We study the time evolution of the spin correlation function after a sudden change of temperature. We find that the value of the correlation function shows nonmonotonic relaxation, and we analyze the mechanisms of the nonmonotonicity. We also point out that competition between different configurations generally causes nonmonotonic relaxation.

KW - Decoration bond

KW - Frustration

KW - Ising spin system

KW - Reentrant phase transition

KW - Relaxation

UR - http://www.scopus.com/inward/record.url?scp=34547920347&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547920347&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.76.083001

DO - 10.1143/JPSJ.76.083001

M3 - Article

AN - SCOPUS:34547920347

VL - 76

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 8

M1 - 083001

ER -