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二重Cayley树上自旋为1/2和3/2的混合自旋模型的亚铁磁性质
引用本文:张鑫.二重Cayley树上自旋为1/2和3/2的混合自旋模型的亚铁磁性质[J].河北职业技术学院学报,2008,8(5).
作者姓名:张鑫
作者单位:滨州学院,山东,滨州,256603
基金项目:滨州学院"青年人才创新工程"科研基金项目
摘    要:利用迭代方法,在亚铁磁情况下,研究了晶体场作用下二重Cayley树上自旋为1/2和3/2的混合Ising模型的热力学和临界现象.通过数值求解,得出了亚晶格磁化强度MA,MB和系统总磁化强度肘随温度变化的曲线,并和铁磁情况所得结果进行比较.研究发现,子晶格B上的磁化强度MB随温度变化的趋势与铁磁情况下一致,而对于子晶格A来讲,磁化强度MA]随温度变化的趋势与铁磁情况下一致,同时得出总磁化强度M的变化趋势与亚晶格磁化强度MA的变化一致,而且配位数对MA的随温度变化的曲线产生影响.结果发现,亚铁磁情况下该系统不存在三临界行为.

关 键 词:磁化强度  混合Ising自旋系统  Cayley树  迭代方法  统计物理

Ferrimagnetic Character of the Mixed Spin-1/2 and Spin-3/2 Ising System on the Two-Fold Cayley Tree
ZHANG Xin.Ferrimagnetic Character of the Mixed Spin-1/2 and Spin-3/2 Ising System on the Two-Fold Cayley Tree[J].Journal of Hebei Polytechnic,2008,8(5).
Authors:ZHANG Xin
Abstract:Using the recursion method,the phase transition and the thermodynamic behavior of the mixed spin-12 and spin-32 Ising system on the two-fold Cayley tree are studied for the ferrimagnetic case.For the ferrimagnetic case,the relations of sublattice magnetizations MA,MB and the total magnetization M with the temperature are obtained,respectively.It is found that the behavior of M is similar to that of MA.The behavior of MB is agree with that of the ferromagnetic case,but the behavior of |MA| is consistent with...
Keywords:magnetization  mixed spin ising system  cayley tree  recursion method  statistical physics  
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