scholarly journals Characteristics of two-dimensional lattice models from a fermionic realization: Ising andXYZmodels

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
Sh. Khachatryan ◽  
A. Sedrakyan
Keyword(s):  
Lattice Models ◽  
Two Dimensional ◽  
Dimensional Lattice

scholarly journals GENERALIZED YANG-BAXTER EQUATION

1993 ◽  
Vol 08 (24) ◽  
pp. 2299-2309 ◽  
Author(s):  
R. M. KASHAEV ◽  
YU. G. STROGANOV
Keyword(s):  
Single Layer ◽  
Lattice Models ◽  
Baxter Equation ◽  
Explicit Solutions ◽  
Generalized Equations ◽  
Two Dimensional ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Dimensional Lattice ◽  
Potts Models

A generalization of the Yang-Baxter equation is proposed. It enables us to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Boltzmann weights of the sl (3) chiral Potts models.

scholarly journals Patterns Generation and Spatial Entropy in Two-dimensional Lattice Models

2007 ◽  
Vol 11 (3) ◽  
pp. 497-534 ◽  
Author(s):  
Jung-Chao Ban ◽  
Song-Sun Lin ◽  
Yin-Heng Lin
Keyword(s):  
Lattice Models ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Spatial Entropy

Universality of coil-globule transition characteristics in two-dimensional lattice models of macromolecules

1988 ◽  
Vol 30 (6) ◽  
pp. 1301-1310
Author(s):  
S.V. Buldyrev ◽  
T.M. Birshtein ◽  
A.M. Yel'yashevich
Keyword(s):  
Lattice Models ◽  
Two Dimensional ◽  
Dimensional Lattice
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