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零温下反铁磁随机场伊辛模型中的磁滞现象。

Hysteresis in the antiferromagnetic random-field Ising model at zero temperature.

作者信息

Kurbah Lobisor, Shukla Prabodh

机构信息

Physics Department, North Eastern Hill University, Shillong, India.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):061136. doi: 10.1103/PhysRevE.83.061136. Epub 2011 Jun 23.

DOI:10.1103/PhysRevE.83.061136
PMID:21797331
Abstract

We study hysteresis in antiferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -∞ and ∞. Two different distributions of the random field are considered: (i) a uniform distribution of width 2Δ centered at the origin and (ii) a Gaussian distribution with average value zero and standard deviation σ. In each case the hysteresis loop is determined exactly in one dimension and compared with numerical simulations of the model.

摘要

我们研究了零温度下反铁磁随机场伊辛模型中的磁滞现象。外场在-∞和∞之间绝热循环。考虑了随机场的两种不同分布:(i)以原点为中心、宽度为2Δ的均匀分布,以及(ii)平均值为零、标准差为σ的高斯分布。在每种情况下,精确确定了一维中的磁滞回线,并与该模型的数值模拟结果进行了比较。

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