伊辛平均场动力学中三临界点在动力学相界上的表现形式--拐点
Inflection point as a manifestation of tricritical point on the dynamic phase boundary in Ising meanfield dynamics
摘要：
在平均场近似下，研究了振荡磁场驱动下动力学伊辛铁磁体的动态相变。平均场微分方程采用六阶龙格-库塔-费尔贝格法求解。我们计算了转变温度作为振荡场的振幅和频率的函数。这是以频率为参数的场振幅图。随着频率的增加，观察到相边界变得膨胀。相边界显示了一个转折点，该转折点分离了过渡的性质。在动态相边界上，发现了三临界点（TCP），其分离跨相边界的动态转变的性质（连续/不连续）。拐点被确定为TCP，从而找到一种更简单的方法来确定TCP的位置。随着频率的降低，动态相界被观察到收缩。在零频率极限，这个边界显示出一种趋势，合并到矫顽场的温度变化。
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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