| Monte Carlo simulations for two-dimensional Ising system far from equilibrium |
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| 引用本文： | LEI XiaoWei ZHENG Ji ZHAO XiaoYu. Monte Carlo simulations for two-dimensional Ising system far from equilibrium[J]. 科学通报(英文版), 2007, 52(3): 307-312. DOI: 10.1007/s11434-007-0060-0 |
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| 作者姓名： | LEI XiaoWei ZHENG Ji ZHAO XiaoYu |
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| 作者单位： | [1]Department of Physics and Information Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China [2]College of Applied Science and Technology, Chongqing University of Art and Sciences, Chongqing 402160, China |
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| 基金项目： | Supported by the Science and Technology Research Program of Municipal Education Committee of Chongqing of China （Grant No. KJ061208） |
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| 摘 要： | With a dynamic Monte Carlo simulation, which is free of critical slowing down, the critical behavior of two-dimensional Ising model at non-equilibrium states is investigated. We focus on the two-time autocorrelation function A(t, t' ) to identify the dynamic exponent z in two different evolution stages, quenched from a high temperature state and a completely ordered state to the critical state at TC, re-spectively. By using the heat-bath algorithm, the dynamic critical exponent is estimated as z ≈ 2.16. As a result, the universality of the scaling behavior is verified numerically, and the exponent λC is deter-mined complete by λC = β /ν for the evolutions from an initial completely ordered state.
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| 关 键 词： | 二维Ising系统 临界行为 非平衡态弛豫 相变 蒙特卡洛模拟 |
| 收稿时间： | 2006-06-17 |
| 修稿时间： | 2006-06-172006-09-11 |
Monte Carlo simulations for two-dimensional Ising system far from equilibrium |
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| Lei XiaoWei,Zheng Ji,Zhao XiaoYu. Monte Carlo simulations for two-dimensional Ising system far from equilibrium[J]. Chinese science bulletin, 2007, 52(3): 307-312. DOI: 10.1007/s11434-007-0060-0 |
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| Authors: | Lei XiaoWei Zheng Ji Zhao XiaoYu |
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| Affiliation: | (1) Department of Physics and Information Engineering, Chongqing University of Arts and Sciences, Chongqing, 402160, China;(2) College of Applied Science and Technology, Chongqing University of Art and Sciences, Chongqing, 402160, China |
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| Abstract: | With a dynamic Monte Carlo simulation, which is free of critical slowing down, the critical behavior of two-dimensional Ising model at non-equilibrium states is investigated. We focus on the two-time autocorrelation function A(t, t′) to identify the dynamic exponent z in two different evolution stages, quenched from a high temperature state and a completely ordered state to the critical state at T C, respectively. By using the heat-bath algorithm, the dynamic critical exponent is estimated as z ≈ 2.16. As a result, the universality of the scaling behavior is verified numerically, and the exponent λ C is determined complete by λ C = β/v for the evolutions from an initial completely ordered state. Supported by the Science and Technology Research Program of Municipal Education Committee of Chongqing of China (Grant No. KJ061208) |
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| Keywords: | Monte Carlo simulations correlation function scale behavior finite size effect |
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