Phase Transitions of Ising Model in Nearest Neighbor Interaction With Fe4N Structure

doi:10.3696/j.issn.1672-6952.2010.02.022

Journal of Liaoning Petrochemical University ›› 2010, Vol. 30 ›› Issue (2): 78-80.DOI: 10.3696/j.issn.1672-6952.2010.02.022

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Phase Transitions of Ising Model in Nearest Neighbor Interaction With Fe₄N Structure

XU Xing-guang, ZHAO Jie

School of Science, Liaoning Shihua University, Fushun Liaoning 113001, P.R.China

Received:2009-10-22 Published:2010-06-25 Online:2017-07-05

具有Fe₄N结构的最近邻Ising模型相变的研究

许星光,赵杰

辽宁石油化工大学理学院,辽宁抚顺113001

作者简介:许星光(1975-),男(朝鲜族),吉林白山市,讲师,硕士
基金资助:
教育部博士点基金项目(20040145019)。

Abstract

Abstract:

The Ising model with Fe₄N structure was studied within the mean-field theory. The theoretic expressions of magnetization and free energy in the nearest neighbor interaction system were deduced. The magnetization curves and phase diagrams were given at a fixed value of through numerical calculation, and the phase transition characteristics were obtained. It was found that the second-order phase transitions were general phenomena, and the first order-order, the first order-disorder phase transitions and reentrant phenomena only exist in a certain range of crystal field. In the phase diagram the curves of reentrant phenomena, the first order-order and the first order-disorder phase transitions intersect at one point. It was found that the phase transition characteristics in the phase diagram at low temperature are completely consistent with the characteristics in the ground-state phase diagram.

Key words: Fe₄N structure, Ising model , , Phase diagram , , Reentrant phenomena , First order phase transition

摘要： 对具有Fe₄N结构的Ising模型,采用平均场理论,推导出考虑最近邻相互作用下系统的磁矩和自由
能公式,并由数值计算方法,给出了为定值时的磁化曲线及相变曲线,得到了系统的相变特征。研究发现二级相变
普遍存在,一级有序—有序相变、一级有序—无序相变及重入现象只存在于一定的晶场范围内,相图中重入现象、一
级有序—无序相变、一级有序—有序相变对应的曲线相交于一点。相图中的低温相变特征与基态相图完全吻合。

关键词: Fe₄N结构 , , Ising模型 , 相图 , , 重入现象 , 一级相变

XU Xing-guang, ZHAO Jie. Phase Transitions of Ising Model in Nearest Neighbor Interaction With Fe₄N Structure[J]. Journal of Liaoning Petrochemical University, 2010, 30(2): 78-80.

许星光,赵杰. 具有Fe₄N结构的最近邻Ising模型相变的研究[J]. 辽宁石油化工大学学报, 2010, 30(2): 78-80.

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Phase Transitions of Ising Model in Nearest Neighbor Interaction With Fe₄N Structure

具有Fe₄N结构的最近邻Ising模型相变的研究

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