Stretched exponential decay of the spin-correlation function in the kinetic Ising model below the critical temperature

Hiroshi Takano, Hiizu Nakanishi, Seiji Miyashita

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The equilibrium long-time behavior of the autocorrelation function Si(0)Si(t)c =Si(0)Si(t)-Si2 of the ith spin Si in the kinetic Ising model is studied below the critical temperature. Based on the expansion of the correlation function into exponentially relaxing modes and on the fact that relaxation rates of these modes constitute a continuous spectrum from zero, it is argued that Si(0)Si(t)c decays stretched exponentially as exp[-Dt(d-1)/(d+1)] in the d-dimensional system. The results of Monte Carlo simulation on the square lattice support the stretched-exponential decay.

Original languageEnglish
Pages (from-to)3716-3719
Number of pages4
JournalPhysical Review B
Volume37
Issue number7
DOIs
Publication statusPublished - 1988

Fingerprint

Ising model
critical temperature
Kinetics
continuous spectra
kinetics
decay
Autocorrelation
autocorrelation
Temperature
expansion
simulation
Monte Carlo simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Stretched exponential decay of the spin-correlation function in the kinetic Ising model below the critical temperature. / Takano, Hiroshi; Nakanishi, Hiizu; Miyashita, Seiji.

In: Physical Review B, Vol. 37, No. 7, 1988, p. 3716-3719.

Research output: Contribution to journalArticle

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AB - The equilibrium long-time behavior of the autocorrelation function Si(0)Si(t)c =Si(0)Si(t)-Si2 of the ith spin Si in the kinetic Ising model is studied below the critical temperature. Based on the expansion of the correlation function into exponentially relaxing modes and on the fact that relaxation rates of these modes constitute a continuous spectrum from zero, it is argued that Si(0)Si(t)c decays stretched exponentially as exp[-Dt(d-1)/(d+1)] in the d-dimensional system. The results of Monte Carlo simulation on the square lattice support the stretched-exponential decay.

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