TY - JOUR

T1 - Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution

AU - Takano, Hiroshi

AU - Miyashita, Seiji

PY - 1989/1/1

Y1 - 1989/1/1

N2 - The relaxation of the equilibrium correlation function [formula omitted] is studied by the Monte Carlo method for the bond-diluted kinetic Ising model on the square lattice with a bond concentration below the percolation threshold. Here, the system has N Ising spins and Si denotes the i-th Ising spin. The correlation function q(t) seems to exhibit a nonexponential decay below the critical temperature of the nonrandom Ising model. An effective size v of a cluster of ferromagnetically connected spins is defined as [formula omitted], where τ is the longest relaxation time in the cluster. It is found that the distribution function of v behaves as [formula omitted]. Although the asymptotic behaviour [formula omitted] is not reached in the time region studied by the Monte Carlo method, this distribution explains the long-time behavior of q(t).

AB - The relaxation of the equilibrium correlation function [formula omitted] is studied by the Monte Carlo method for the bond-diluted kinetic Ising model on the square lattice with a bond concentration below the percolation threshold. Here, the system has N Ising spins and Si denotes the i-th Ising spin. The correlation function q(t) seems to exhibit a nonexponential decay below the critical temperature of the nonrandom Ising model. An effective size v of a cluster of ferromagnetically connected spins is defined as [formula omitted], where τ is the longest relaxation time in the cluster. It is found that the distribution function of v behaves as [formula omitted]. Although the asymptotic behaviour [formula omitted] is not reached in the time region studied by the Monte Carlo method, this distribution explains the long-time behavior of q(t).

KW - Bond dilution

KW - Griffiths singularity

KW - Kinetic Ising model

KW - Relaxation

KW - Spin autocorrelation function

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U2 - 10.1143/JPSJ.58.3871

DO - 10.1143/JPSJ.58.3871

M3 - Article

AN - SCOPUS:0342374097

VL - 58

SP - 3871

EP - 3874

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -