Numerical Determination of the Critical Value for the (1+1)-Dimensional Sine-Gordon Model
YUAN Qing-Xin1, DING Guo-Hui2
1Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015
2Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
Numerical Determination of the Critical Value for the (1+1)-Dimensional Sine-Gordon Model
YUAN Qing-Xin1;DING Guo-Hui2
1Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015
2Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
Abstract: A new procedure of potential importance sampling method is applied to investigate the phase transition of the (1+1)-dimensional sine-Gordon model. With this method, we obtain the Kosterlitz--Thouless-type phase transition critical value of β2cong 8π with a relative error as small as 0.4%.
YUAN Qing-Xin;DING Guo-Hui. Numerical Determination of the Critical Value for the (1+1)-Dimensional Sine-Gordon Model[J]. 中国物理快报, 2006, 23(1): 39-41.
YUAN Qing-Xin, DING Guo-Hui. Numerical Determination of the Critical Value for the (1+1)-Dimensional Sine-Gordon Model. Chin. Phys. Lett., 2006, 23(1): 39-41.