Density of states of the Ising model in the field

2014 ◽  
pp. 21-35
Author(s):  
Borko D. Stošić
Keyword(s):  
Ising Model ◽  
Density Of States

TWO-DIMENSIONAL WANG–LANDAU SAMPLING OF AN ASYMMETRIC ISING MODEL

2009 ◽  
Vol 20 (09) ◽  
pp. 1357-1366 ◽  
Author(s):  
SHAN-HO TSAI ◽  
FUGAO WANG ◽  
D. P. LANDAU
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Density Of States ◽  
Triangular Lattice ◽  
Sampling Method ◽  
Two Dimensional ◽  
Theoretical Predictions ◽  
The Spectator ◽  
Three Body

We study the critical endpoint behavior of an asymmetric Ising model with two- and three-body interactions on a triangular lattice, in the presence of an external field. We use a two-dimensional Wang–Landau sampling method to determine the density of states for this model. An accurate density of states allowed us to map out the phase diagram accurately and observe a clear divergence of the curvature of the spectator phase boundary and of the derivative of the magnetization coexistence diameter near the critical endpoint, in agreement with previous theoretical predictions.

scholarly journals Transition matrix cluster algorithms

2019 ◽  
Vol 30 (01) ◽  
pp. 1950004 ◽  
Author(s):  
David Yevick ◽  
Yong Hwan Lee
Keyword(s):  
Ising Model ◽  
Density Of States ◽  
Matrix Method ◽  
Transition Matrix ◽  
Detailed Balance ◽  
Accurate Method ◽  
Single Spin ◽  
Cluster Algorithms ◽  
Global Cluster ◽  
Model Transition

We demonstrate that a series of procedures for increasing the efficiency of transition matrix calculations can be realized by integrating the standard single-spin flip transition matrix method with global cluster flipping techniques. Our calculations employ a simple and accurate method based on detailed balance for computing the density of states from the Ising model transition matrix.

Ising-model Monte Carlo simulations: Density of states and mass gap

1990 ◽  
Vol 41 (1) ◽  
pp. 383-394 ◽  
Author(s):  
Nelson A. Alves ◽  
Bernd A. Berg ◽  
Ramon Villanova
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Density Of States ◽  
Mass Gap
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