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[统计数据] 拐点作为三分点在动力学上的表现 Ising meanfield动力学中的相边界 [推广有奖]

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kedemingshi 在职认证  发表于 2022-3-5 12:21:00 来自手机 |AI写论文

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摘要翻译:
在meanfield近似下,研究了在振荡磁场驱动下动力学Ising铁磁体的动力学相变。meanfield微分方程采用六阶Runge-Kutta-Felberg方法求解。我们计算了转变温度与振荡场振幅和频率的函数关系。这是以频率为参数,根据场振幅绘制的。随着频率的增加,相位边界被观察到膨胀。相界显示了一个拐点,它分离了转变的性质。在动态相界上发现了一个三叉点(TCP),它区分了跨相界的动态转变的性质(连续/不连续)。将拐点确定为TCP点,从而找到了一种更简单的确定TCP点位置的方法。TCP在较高的频率下向高场方向移动。随着频率的降低,动态相位边界收缩。在零频率极限下,这一边界呈现出与矫顽场温度变化合并的趋势。
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英文标题:
《Inflection point as a manifestation of tricritical point on the dynamic
  phase boundary in Ising meanfield dynamics》
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作者:
Muktish Acharyya and Ajanta Bhowal Acharyya
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  We studied the dynamical phase transition in kinetic Ising ferromagnet driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth order Runge-Kutta-Felberg method. We calculated the transition temperature as a function of amplitude and frequency of the oscillating field. This was plotted against field amplitude taking frequency as a parameter. As frequency increases the phase boundary is observed to become inflated. The phase boundary shows an inflection point which separates the nature of the transition. On the dynamic phase boundary a tricritical point (TCP) was found, which separates the nature (continuous/discontinuous) of the dynamic transition across the phase boundary. The inflection point is identified as the TCP and hence a simpler method of determining the position of TCP was found. TCP was observed to shift towards high field for higher frequency. As frequency decreases the dynamic phase boundary is observe to shrink. In the zero frequency limit this boundary shows a tendency to merge to the temperature variation of the coercive field.
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PDF链接:
https://arxiv.org/pdf/705.457
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关键词:field mean 动力学 isi ING 铁磁体 meanfield 动力学 边界 相变

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