[陈晓玲; 田礼乔] State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China;[Zeng, Qun; 赵越] School of Urban and Environment Science, Central China Normal University, Wuhan 430079, China;[陈晓玲] The Key Laboratory of Poyang Lake Wetland and Watershed Research, Ministry of Education, Jiangxi Normal University, Nanchang 330022, China;[Zeng, Qun] Editorial Department of Journal, Central China Normal University, Wuhan 430079, China
[Tian, LQ] Wuhan Univ, State Key Lab Informat Engn Surveying Mapping & R, Wuhan 430079, Peoples R China.
Let F-q be a finite field of odd order q. In this note the generator polynomials and the numbers of all self-dual and self-orthogonal cyclic and negacyclic codes of length 2(m) over F-q are precisely characterized.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2015年54(10):3462-3489 ISSN：0020-7748
[Mei, T.] Cent China Normal Univ, Dept Journal, Wuhan, Hubei Pro, Peoples R China.
[Mei, T] Cent China Normal Univ, Dept Journal, Wuhan, Hubei Pro, Peoples R China.
The two-dimensional Ising model;The spin-spin correlation functions;The spinor analysis method;Short range order;Long range order
Some expressions of spin-spin correlation functions of the two-dimensional Ising model in the thermodynamic limit have been obtained, however, so far, no one correlation function that can show long range order of the model with finite size has been obtained. The purpose of this paper is to fill this gap. We present an exact closed formula for the correlation functions of the farthest pairs of spins in a column of the two-dimensional rectangular Ising model with periodic-free boundary condition and finite size by the spinor analysis method. The concrete expression correct to order of magnitude of such correlation functions is presented, from which it is shown clearly how long range order emerges as the decrease of the temperature. Some properties are discussed.