“理论物理”课程视域下的正五边形格点热输运性质

Thermal Transport Property of Regular Pentagon Lattices from Perspective of Theoretical Physics Curriculum

借助伊辛模型的平均场理论,通过引入热力学统计物理学中的配分函数,研究了正五边形格点的磁化强度、自由能和热容随磁场与交换强度的变化关系。研究表明:磁化强度会随着磁场和交换强度的变化呈现磁化台阶,且台阶的宽度与两者强度的竞争有关;磁场和格点间交换强度的竞争会导致正五边形格点结构的不稳定;热容也会出现双峰结构,且双峰出现的位置、强度和双峰间距也会受到磁场和交换强度的调制。

Based on the mean-field theory of Ising model and the partition function in thermodynamic statistical physics,the variation of magnetization,free energy and heat capacity of regular pentagon lattice with magnetic field and exchange intensity has been studied.It is shown that the magnetization intensity presents a magnetization step with the change of magnetic field and exchange intensity,and the width of the step is related to the competition between the manetic field and the exchange intensity;the competition between the magnetic field and the exchange intensity between the lattices leads to the instability of the regular pentagon lattice structure;the heat capacity appears as double peaks structure,and the position,intensity and spacing of the double peaks are also modulated by the magnetic field and the exchange intensity.