| 一维反铁磁的高斯模型 |
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| 引用本文： | 王利东,孔祥木,姜宏伟,郑鹉,王艾玲,刘立峰.一维反铁磁的高斯模型[J].首都师范大学学报(自然科学版),2007,28(2):28-31. |
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| 作者姓名： | 王利东 孔祥木 姜宏伟 郑鹉 王艾玲 刘立峰 |
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| 作者单位： | 1. 首都师范大学物理系,北京,100037
2. 中科院交叉科学理论研究中心,北京,100080 |
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| 摘 要： | 利用求严格解和坐标空间重正化群两种方法，研究了只考虑近邻相互作用的一维反铁磁高斯模型，发现一维反铁磁高斯系统同一维铁磁高斯系统一样，也存在有限大小温度的相变，利用傅里叶变换的方法计算出了严格的配分函数，进而求出了系统的自由能，由自由能函数的奇异点，得到了系统的临界温度．应用坐标空间重正化群和自旋重标相结合的方法求出了系统的临界温度，得到了与严格计算相同的结果．
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| 关 键 词： | 高斯模型 反铁磁 相变 重正化群 |
| 修稿时间： | 2006-11-08 |
NE-Dimentional Antiferromagnetic Gaussian Model |
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| Wang Lidong,Kong Xiangmu,Jiang Hongwei,Zhengwu,Wang Ailing,Liu Lifeng.NE-Dimentional Antiferromagnetic Gaussian Model[J].Journal of Capital Normal University(Natural Science Edition),2007,28(2):28-31. |
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| Authors: | Wang Lidong Kong Xiangmu Jiang Hongwei Zhengwu Wang Ailing Liu Lifeng |
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| Institution: | 1.Department of Physics, Capital Normal University, Beijing 10037, China; 2. Department of Physics and Engineering, Qufu Teaching University, Shangdong 273165, China |
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| Abstract: | By utilizing two methods of asking strict solution and coordinate space renormalization,study ferromagnetic Gaussian model of one dimension which only considers near neighbour's interaction,find the antiferromagnetic Gaussian model of one dimension is similar to the ferromagnetic Gaussian model of one dimension,which has limited temperature phase transition.Calculate out the strict partition function in method of utilizing Fourier to spin variable,and then has asked out the systematic free energy,through the singular point of free energy function,have got the systematic critical temperatrue.Use coordinate space renomalization and spin replot combined together to ask out the systematic critical temperature again,have got the same result to the one by the method of caculating strictly. |
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| Keywords: | the Gaussian model Antiferromagnetic Phase transition Renormalization |
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