Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution
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概要
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The relaxation of the equilibrium correlation function q(l)=N ' I7=.<S,(Z)S,(0)>is studied by the Monte Carlo method for the bond-diluted kinetic Ising model on thesquare lattice with a bond concentration below the percolation threshold. Here, thesystem has N Ising spins and .s', denotes the 7-th Ising spin. 'the correlation functionq(t) seems to exhibit a nonexponential decay below the critical temperature of thenonrandom Ising model. All effective size v of a cluster of ferromagnetically connected spins is defined as v=(In r)', where r is the longest relaxation time in thecluster. It is found that the distribution function of v behaves as P(v)ccexp [ -yvJ.Although the asymptotic belaavior q(t) -exp [ -C(In Z)'] is not reached in the timeregion studied by the Monte Carlo method, this distribution explains the long-timebehavior of q(t).[kinetic Ising model, bond dilution, Griffiths singularity, spin autocorrelation l[ function, relaxation1
- 社団法人日本物理学会の論文
- 1989-11-15
著者
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Miyashita Seiji
Department Of Applied Physics Graduate School Of Engineering The University Of Tokyo
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Takano Hiroshi
Department Of Applied Physics Osaka University
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MIYASHITA Seiji
Department of Physics,College of Liberal Arts,Kyoto University
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TAKANO Hiroshi
Department of Physics,Faculty of Science,and Technology,Keio University
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