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

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.

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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