A New Method to Predict Critical Temperature of the Ising Model by Extrapolating Variational Cumulant Expansion to Infinite Order  

作　　者：LIU Ruijie CHEN Tianlun ZHAO Bojuan 

机构地区：[1]Department of Physics,Nankai University,Tianjin 300071 [2]Department of Mathematics,Nankai University,Tianjin 300071

出　　处：《Chinese Physics Letters》1995年第3期179-182,共4页中国物理快报（英文版）

基　　金：Supported by Doctoral Foundation of Chinese Education Commission;the National Natural Science Foundation of China.

摘　　要：The critical temperatures of the Ising model in square and simple cubic lattices are derived with the variational-cumulant expansion approach to the seventh order.An extrapolating method is proposed to predict the critical temperature of infinite series according to the finite order expansion,at which a weighted fitting method is used.For the 2-dimensional Ising model,the critical temperature obtained by this method is in a deviation of 0.04% compared with the exact value,and the estimated results are robust for different order prediction.The critical temperature for the 3D Ising model is predicted as 4.490.

关 键 词：order. ISING CRITICAL 

分 类 号：O17[理学—数学]