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

Hiroshi Takano, Hiizu Nakanishi, Seiji Miyashita

研究成果: Article査読

37 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)3716-3719
ページ数4
ジャーナルPhysical Review B
37
7
DOI
出版ステータスPublished - 1988

ASJC Scopus subject areas

  • 凝縮系物理学

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