The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 31-761
Full Name: Jun Wang
Position: Professor
Age: ON
Sex: Male
Address: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P.R.China
Country: CHINA
Tel: 0086 10 51682867
Tel prefix:
Fax: 86-10-51682867
E-mail address: wangjun@bjtu.edu.cn
Other E-mails: jun6211wang@yahoo.com.cn
Title of the Paper: The Impact of Boundary Conditions on Two-Dimensional Stochastic Ising Model
Authors as they appear in the Paper: Jun Wang
Email addresses of all the authors: wangjun@bjtu.edu.cn
Number of paper pages: 10
Abstract: In this paper, we investigate the probability properties of two-dimensional Ising model with several different boundary conditions. The stochastic Ising model is one of the statistical physics models, at sufficiently low temperatures, the model exhibits phase transition. We consider a finite square of side , and with different boundary conditions, in the absence of an external field and at large inverse temperature , we will show some probability estimations for the Ising model. Further we discuss the impact of boundary conditions on two-dimensional stochastic Ising model.
Keywords: Stochastic Ising model; Gibbs measure; boundary conditions; contour; critical value; spectral gap; the inverse temperature
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