scholarly journals Simplified transfer matrix approach in the two-dimensional Ising model with various boundary conditions

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
Boris Kastening
Keyword(s):  
Ising Model ◽  
Boundary Conditions ◽  
Transfer Matrix ◽  
Two Dimensional ◽  
Matrix Approach ◽  
Various Boundary Conditions ◽  
Transfer Matrix Approach

scholarly journals Transfer matrix approach to the disordered Ising model on hierarchical lattices

2006 ◽  
Vol 73 (17) ◽  
Author(s):  
Danielle O. C. Santos ◽  
Edvaldo Nogueira ◽  
Roberto F. S. Andrade
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Matrix Approach ◽  
Transfer Matrix Approach ◽  
Hierarchical Lattices

One-dimensional Systems

2020 ◽  
pp. 48-105
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Potts Model ◽  
Statistical Models ◽  
Model Systems ◽  
Recursive Method ◽  
Two Dimensional ◽  
Matrix Approach ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Transfer Matrix Approach

Chapter 2 discusses one-dimensional statistical models, for example, the Ising model and its generalizations (Potts model, systems with O(n) or Zn-symmetry, etc.). It discusses several methods of solution and covers the recursive method, the transfer matrix approach, and series expansion techniques. General properties of these methods, which are valid on higher-dimensional lattices, are also covered. The contents of this chapter are quite simple and pedagogical but extremely useful for understanding the following sections of the book. One of the appendices at the end of the chapter is devoted to a famous problem of topology, i.e. the four-colour problem, and its relation with the two-dimensional Potts model.

Extended discrete-time transfer matrix approach to modeling and decentralized control of lattice-based structures

2016 ◽  
Vol 23 (10) ◽  
pp. 1256-1272 ◽  
Author(s):  
Nick Cramer ◽  
Sean Shan-Min Swei ◽  
Kenneth C. Cheung ◽  
Mircea Teodorescu
Keyword(s):  
Transfer Matrix ◽  
Decentralized Control ◽  
Discrete Time ◽  
Matrix Approach ◽  
Time Transfer ◽  
Transfer Matrix Approach

scholarly journals Slowly varying amplitude approximation appraised by transfer-matrix approach

1999 ◽  
Vol 60 (15) ◽  
pp. 10644-10647 ◽  
Author(s):  
Zhi-Yuan Li ◽  
Ben-Yuan Gu ◽  
Guo-Zhen Yang
Keyword(s):  
Transfer Matrix ◽  
Matrix Approach ◽  
Transfer Matrix Approach
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