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期刊论文

Critical dynamics of the Gaussian model with multispin transitions

杨展如Xiang-Mu Kong* and Z.R. Yang

PHYSICAL REVIEW E 67, 056121 (2003),-0001,():

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摘要/描述

In this paper, we present a multispin transition mechanism, which is an extension of the Glauber one, to investigate critical dynamics. By exactly solving the master equation, the influence of the multispin transition mechanism on the dynamic critical behavior is studied for the Gaussian model with nearest-neighbor interactions on d-dimensional lattices (d51, 2, and 3!. The time evolution of magnetization is exactly calculated, and the exact results of relaxation time and dynamic critical exponent are obtained. Our models are divided into two kinds: one is the spin-cluster transition and the other is the arbitrary multispin transition. It is found that there are different relaxation times, but the same dynamical critical exponent for different kinds of multispin transitions. The results show that the dynamical critical exponents are independent of spatial dimensions and configurations of transitional spins, and that the dynamical critical exponent is the same as that of the Glauber dynamics, and thus give a strong support to the simple single-spin-transition dynamics. Finally, we give a brief discussion on the results.

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版权说明:以下全部内容由杨展如上传于   2005年06月21日 18时30分07秒,版权归本人所有。

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