An extended chain Ising model and its Glauber dynamics

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 probab...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 21; no. 2; pp. 504 - 508
Main Author 赵兴宇 黄心茹 樊小辉 黄以能
Format Journal Article
LanguageEnglish
Published 01.02.2012
Subjects
Chain dynamics
Chains
Computer simulation
Dynamics
ECI
Heat exchangers
Ising model
Mathematical models
Monte Carlo methods
Phonons
伊辛模型
扩展方法
拟蒙特卡罗方法
独立事件
能量交换
芒硝
长链
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/2/027501

Cover

More Information
Summary: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.
Bibliography: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.
Ising model, Glauber dynamics, single spin-flip probability
Zhao Xing-Yu, Huang Xm-Ru, Fan Xiao-Hui, Huang Yi-Neng a） Physical College and Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters, Yili Normal University, Yining 835000, China b） Physical College and National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China C） Department of Physics, Shihezi University, Shihezi 832003, China
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/2/027501