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二维 ANNNI 模型中的动力学渗流相变。

Dynamical percolation transition in the two-dimensional ANNNI model.

机构信息

Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata, India.

出版信息

J Phys Condens Matter. 2013 Apr 3;25(13):136002. doi: 10.1088/0953-8984/25/13/136002. Epub 2013 Mar 1.

DOI:10.1088/0953-8984/25/13/136002
PMID:23454866
Abstract

The dynamical percolation transition of the two-dimensional axial next nearest-neighbor Ising model due to a pulsed magnetic field has been studied by finite size scaling analysis (by Monte Carlo simulation) for various values of frustration parameters, pulse width and temperature (below the corresponding static transition temperature). It has been found that the size of the largest geometrical cluster shows a transition for a critical field amplitude. Although the transition points shift, the critical exponents remain invariant for a wide range of frustration parameters. They are also the same as those obtained for the 2d Ising model. This suggests that although the static phase diagrams of these two models differ significantly in various aspects, the dynamical percolation transitions of these models belong to the same universality class.

摘要

二维轴向次近邻伊辛模型由于脉冲磁场的动态渗流相变已经通过有限尺寸标度分析(通过蒙特卡罗模拟)进行了研究,研究了各种挫折参数、脉冲宽度和温度(低于相应的静态相变温度)的情况。结果表明,在临界场振幅下,最大几何团簇的大小显示出转变。尽管转变点发生了偏移,但在广泛的挫折参数范围内,临界指数保持不变。它们也与二维伊辛模型得到的结果相同。这表明,尽管这两个模型的静态相图在各个方面有很大的不同,但这些模型的动态渗流转变属于同一通用类。

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