第6卷‧第3期,
198207
, pp. 257-261
四維艾辛模型高溫磁化率之級數分析
- 作者:
陳信雄; 李俊弘
- 作者服務機構:
國立清華大學物理研究所
- 中文摘要:
本文求出若干四維晶格上自旋為1/2艾辛模型之高溫磁化率級數至第8階。這些四維晶格為簡單超立方晶格、體心超立方晶格、超三角晶格及廣義等鄰晶格。假設在臨界溫度附近這些級數的發散情形為(方程式無法摘錄),本文考慮了數種分析這些臨界參數的方法。我們發現T 及 很難獨立求出。但是,如果 知道了,T 及A可以很容易求得。採用了再歸元群法之結果 =1/3,我們定出了前述四維晶格之臨界溫度為T 及臨界振幅A。
- 英文摘要:
High-temperature susceptibility series for the spin-1/2 Ising model are obtained to the 8th order forseveral four-dimensional lattices: the simple hypercubic, the body-centered hypercubic, the hypertriangular,and the generalized equivalent nieghbor lattices. These series are analyzed by assuming a singularity of theform(方程式無法摘錄). Several methods of analysis are considered. We find that it is difficult to deter-mine both T and independently. However, if is known, T and A can be determined easily. Adopt-ing the result of renormalization group approach, =1/3, we have determined the critical temperaturesT and the critical amplitudes A for various four-dimensional lattices.
- 中文關鍵字:
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- 英文關鍵字:
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