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有效场理论和格劳伯型随机动力学方法下二维动力学混合伊辛系统中的非平衡磁性质。

Nonequilibrium magnetic properties in a two-dimensional kinetic mixed Ising system within the effective-field theory and Glauber-type stochastic dynamics approach.

作者信息

Ertaş Mehmet, Deviren Bayram, Keskin Mustafa

机构信息

Department of Physics, Erciyes University, 38039 Kayseri, Turkey.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 1):051110. doi: 10.1103/PhysRevE.86.051110. Epub 2012 Nov 7.

DOI:10.1103/PhysRevE.86.051110
PMID:23214741
Abstract

Nonequilibrium magnetic properties in a two-dimensional kinetic mixed spin-2 and spin-5/2 Ising system in the presence of a time-varying (sinusoidal) magnetic field are studied within the effective-field theory (EFT) with correlations. The time evolution of the system is described by using Glauber-type stochastic dynamics. The dynamic EFT equations are derived by employing the Glauber transition rates for two interpenetrating square lattices. We investigate the time dependence of the magnetizations for different interaction parameter values in order to find the phases in the system. We also study the thermal behavior of the dynamic magnetizations, the hysteresis loop area, and dynamic correlation. The dynamic phase diagrams are presented in the reduced magnetic field amplitude and reduced temperature plane and we observe that the system exhibits dynamic tricritical and reentrant behaviors. Moreover, the system also displays a double critical end point (B), a zero-temperature critical point (Z), a critical end point (E), and a triple point (TP). We also performed a comparison with the mean-field prediction in order to point out the effects of correlations and found that some of the dynamic first-order phase lines, which are artifacts of the mean-field approach, disappeared.

摘要

在有效场理论(EFT)并考虑关联的情况下,研究了存在时变(正弦)磁场时二维动力学混合自旋 - 2和自旋 - 5/2伊辛系统中的非平衡磁性质。利用格劳伯型随机动力学描述系统的时间演化。通过采用两个相互渗透的正方形晶格的格劳伯跃迁速率推导动态EFT方程。为了找出系统中的相,我们研究了不同相互作用参数值下磁化强度的时间依赖性。我们还研究了动态磁化强度的热行为、磁滞回线面积和动态关联。在约化磁场幅度和约化温度平面上给出了动态相图,我们观察到系统表现出动态三临界和再入行为。此外,系统还显示出一个双临界端点(B)、一个零温度临界点(Z)、一个临界端点(E)和一个三相点(TP)。我们还与平均场预测进行了比较,以指出关联的影响,发现一些作为平均场方法假象的动态一级相线消失了。

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