| Original Articles |
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Monte Carlo Study of Griffiths Phase in Randomly Site Diluted Ising Magnetic System |
| CAO Heng;YUAN Song-Liu;SHANG Jing-Lin;JIANG Xiu-Lin;LI Pai;WANG Yong-Qiang;LIU Li |
| Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Cite this article: |
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CAO Heng, YUAN Song-Liu, SHANG Jing-Lin et al 2006 Chin. Phys. Lett. 23 1176-1179 |
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Abstract We study the dynamics of spin autocorrelation function and the non-equilibrium decay of magnetization in the Griffiths phase of randomly site diluted Ising magnetic systems by Monte Carlo simulation. The results show that the relaxations are non-exponential for both two- and three-dimensional diluted Ising magnetic systems. At a long timescale, the asymptotic dynamics of the spin autocorrelation function C(t) behaves in the form of C(t) ～ exp{-A(ln t)d/d-1}, expected by the theoretical prediction based on clustering arguments. Furthermore we show that the evolution of the spin autocorrelation function satisfies rather well a stretched exponential form of C(t) ～ exp{-(t/t)β} even at quite small timescales.
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| Keywords:
36.40.Ei
75.10.Hk
75.30.Kz
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Published: 01 May 2006
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| PACS: |
36.40.Ei
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(Phase transitions in clusters)
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75.10.Hk
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(Classical spin models)
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75.30.Kz
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(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
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