| 二维Ising和XY模型的老化现象研究 |
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| 引用本文： | 雷晓蔚.二维Ising和XY模型的老化现象研究[J].浙江大学学报(理学版),2007,34(2):168-171. |
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| 作者姓名： | 雷晓蔚 |
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| 作者单位： | 重庆文理学院,物理与信息工程系,重庆,402160 |
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| 基金项目： | 重庆市教育委员会科学技术研究资助项目（KJ061208）.本文数据是作者使用浙江大学近代物理中心计算物理小组的IBM计算机完成的,特别感谢郑波教授的指导和中心小组同学们的帮助. |
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| 摘 要： | 以动力学蒙特卡罗（Monte Carlo）模拟方法对二维伊辛（Ising）模型和二维经典XY模型展开了数值研究．从一个高温无序相淬火到临界点Tc，采用热浴迭代方法，模拟计算双时自关联函数A（t，t’=O）与t的函数标度关系，以及A（t，t’）与t／t’之间的函数关系，得到了相关临界指数．研究其中所遵循的规律，证实对二维XY模型的标度行为应该进行对数修正．预测了老化（aging）现象的普适性及其标度关系，与重整化群理论的结果相吻合．
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| 关 键 词： | 蒙特卡罗 热浴迭代 自关联函数 老化现象 标度关系 |
| 文章编号： | 1008-9497（2007）02-168-04 |
| 修稿时间： | 2005-12-05 |
Study for aging phenomena of two-dimensional Ising and XY model |
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| LEI Xiao-wei.Study for aging phenomena of two-dimensional Ising and XY model[J].Journal of Zhejiang University(Sciences Edition),2007,34(2):168-171. |
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| Authors: | LEI Xiao-wei |
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| Institution: | Department of Physics and Information Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China |
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| Abstract: | With dynamic Monte Carlo simulations, aging phenomena of two-dimensional Ising model and dynamic XY model were studied numerically. Systems were quenched to their critical point from a disordered initial state. The autocorrelation function was calculated by heat-bath algorithm. Critical exponents were also calculated. It was confirmed that for the 2D XY model, there is a logarithmic correction to scaling. The universality proposal and their scale relation in aging phenomena were predicted. The scale relation agreed with renormalization group calculations. |
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| Keywords: | Monte Carlo heat-bath autocorrelation function aging phenomena scale relation |
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