An extended chain Ising model and its Glauber dynamics
Zhao Xing-Yu(赵兴宇)a), Huang Xin-Ru(黄心茹)c), Fan Xiao-Hui(樊小辉)a), and Huang Yi-Neng(黄以能)a)b)†
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
Abstract It was first proposed that an extended chain Ising (ECI) model contains the Ising chain model, single spin double-well 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 Glauber-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.
Received: 24 June 2011
Revised: 19 August 2011
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10774064 and 30860076), Xinjiang High- Tech Development Foundation (Grant No. 200916126), and the Key Natural Science Foundation of Xinjiang Science-Technology Department (Grant Nos. 200821104 and 200821184).
Zhao Xing-Yu(赵兴宇), Huang Xin-Ru(黄心茹), Fan Xiao-Hui(樊小辉), and Huang Yi-Neng(黄以能) An extended chain Ising model and its Glauber dynamics 2012 Chin. Phys. B 21 027501
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
