scholarly journals Some numerical results on the block spin transformation for the 2D Ising model at the critical point

1995 ◽  
Vol 78 (3-4) ◽  
pp. 731-757 ◽  
Author(s):  
G. Benfatto ◽  
E. Marinari ◽  
E. Olivieri
Keyword(s):  
Ising Model ◽  
Critical Point ◽  
Numerical Results ◽  
Block Spin Transformation ◽  
Block Spin

Ising-Model, Block-Spin Distributions by the Markov Property Method

1998 ◽  
Vol 93 (3/4) ◽  
pp. 573-582
Author(s):  
George A. Baker, Jr.
Keyword(s):  
Ising Model ◽  
Markov Property ◽  
Model Block ◽  
Spin Distributions ◽  
Block Spin

Transfer Matrix of the Two-dimensional Ising Model

2020 ◽  
pp. 211-234
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Critical Point ◽  
Transfer Matrix ◽  
Functional Equations ◽  
Baxter Equation ◽  
Matrix Formalism ◽  
Two Dimensional ◽  
R Matrix ◽  
Transfer Matrix Formalism ◽  
Lowest Eigenvalue

This chapter deals with the exact solution of the two-dimensional Ising model as it is achieved through the transfer matrix formalism. It discusses the crucial role played by the commutative properties of the transfer matrices, which lead to a functional equation for their eigenvalues. The exact free energy of the Ising model and its critical point can be identified by means of the lowest eigenvalue. The chapter covers Baxter's approach, the Yang–Baxter equation and its relation to the Boltzmann weights, the R-matrix, and discusses activity away from the critical point, the six-vertex model, as well as functional equations and symmetries.

Wetting transitions near the bulk critical point: Monte Carlo simulations for the Ising model

1989 ◽  
Vol 40 (10) ◽  
pp. 6971-6979 ◽  
Author(s):  
K. Binder ◽  
D. P. Landau ◽  
S. Wansleben
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Wetting Transitions

Computing optimal quality control policies — two actions

1976 ◽  
Vol 13 (04) ◽  
pp. 826-832
Author(s):  
Robert C. Wang
Keyword(s):  
Quality Control ◽  
Critical Point ◽  
Control Model ◽  
Numerical Results ◽  
Control Policies ◽  
Optimal Quality

We study a Markov quality control model in which we may either reset the machine or keep the machine producing items. Both discounted and average costs are considered. We shall show that a monotone policy is optimal and show how to compute the optimal critical point. Two special models are studied along with some numerical results.

Numerical results for the random field Ising model (invited)

1985 ◽  
Vol 57 (8) ◽  
pp. 3274-3278 ◽  
Author(s):  
E. Pytte ◽  
J. F. Fernandez
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Numerical Results ◽  
Random Field Ising Model
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