An extended chain Ising model and its Glauber dynamics  

作　　者：Zhao Xing-Yu Huang Xin-Ru Fan Xiao-Hui Huang Yi-Neng 赵兴宇;黄心茹;樊小辉;黄以能(Physical College and Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters,Yili Normal University,Yining 835000,China;Physical College and National Laboratory of Solid State Microstructures,Nanjing University,Nanjing 210093,China;Department of Physics,Shihezi University,Shihezi 832003,China)

机构地区：[1]Physical College and Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters,Yili Normal University,Yining 835000,China [2]Physical College and National Laboratory of Solid State Microstructures,Nanjing University,Nanjing 210093,China [3]Department of Physics,Shihezi University,Shihezi 832003,China

出　　处：《Chinese Physics B》2012年第2期504-508,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10774064 and 30860076);Xinjiang High-Tech Development Foundation (Grant No.200916126);the Key Natural Science Foundation of Xinjiang Science-Technology Department (Grant Nos.200821104 and 200821184)

摘　　要：It was first proposed that an extended chain Ising （ECI） model contains the Ising chain model, single spin doublewell potentials and a pure phonon heat bath of a specific energy exchange with the spins. The extension method is easy to apply to high dimensional cases. Then the single spin-flip probability （rate） of the ECI model is deduced based on the Boltzmann principle and general statistical principles of independent events and the model is simplified to an extended chain Glauber-Ising （ECGI） model. Moreover, the relaxation dynamics of the ECGI model were simulated by the Monte Carlo method and a comparison with the predictions of the special chain Clauber-Ising （SCGI） model was presented. It was found that the results of the two models are consistent with each other when the Ising chain length is large enough and temperature is relative low, which is the most valuable case of the model applications. These show that the ECI model will provide a firm physical base for the widely used single spin-flip rate proposed by Glauber and a possible route to obtain the single spin-flip rate of other form and even the multi-spin-flip rate.It was first proposed that an extended chain Ising （ECI） model contains the Ising chain model, single spin doublewell potentials and a pure phonon heat bath of a specific energy exchange with the spins. The extension method is easy to apply to high dimensional cases. Then the single spin-flip probability （rate） of the ECI model is deduced based on the Boltzmann principle and general statistical principles of independent events and the model is simplified to an extended chain Glauber-Ising （ECGI） model. Moreover, the relaxation dynamics of the ECGI model were simulated by the Monte Carlo method and a comparison with the predictions of the special chain Clauber-Ising （SCGI） model was presented. It was found that the results of the two models are consistent with each other when the Ising chain length is large enough and temperature is relative low, which is the most valuable case of the model applications. These show that the ECI model will provide a firm physical base for the widely used single spin-flip rate proposed by Glauber and a possible route to obtain the single spin-flip rate of other form and even the multi-spin-flip rate.

关 键 词：Ising model Glauber dynamics single spin-flip probability 

分 类 号：O641[理学—物理化学]