Critical behavior of the two-dimensional thermalized bond Ising model

2010 ◽  
Vol 389 (17) ◽  
pp. 3349-3355 ◽  
Author(s):  
S. Davatolhagh ◽  
M. Moshfeghian
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Two Dimensional

Effects of Superaging and Percolation Crossover on the Nonequilibrium Critical Behavior of the Two-Dimensional Disordered Ising Model

JETP Letters ◽  
2018 ◽  
Vol 107 (9) ◽  
pp. 569-576 ◽  
Author(s):  
V. V. Prudnikov ◽  
P. V. Prudnikov ◽  
E. A. Pospelov ◽  
P. N. Malyarenko
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Two Dimensional

scholarly journals CRITICAL DYNAMICS OF TWO-REPLICA CLUSTER ALGORITHMS

2001 ◽  
Vol 12 (02) ◽  
pp. 257-271
Author(s):  
X.-N. LI ◽  
J. MACHTA
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Cluster Algorithm ◽  
The Other ◽  
Square Lattice ◽  
Critical Dynamics ◽  
Two Dimensional ◽  
Cluster Algorithms ◽  
Dynamic Exponent

The dynamic critical behavior of the two-replica cluster algorithm is studied. Several versions of the algorithm are applied to the two-dimensional, square lattice Ising model with a staggered field. The dynamic exponent for the full algorithm is found to be less than 0.4. It is found that odd translations of one replica with respect to the other together with global flips are essential for obtaining a small value of the dynamic exponent.

scholarly journals Critical behavior of the two-dimensional Ising model with long-range correlated disorder

2016 ◽  
Vol 93 (22) ◽  
Author(s):  
M. Dudka ◽  
A. A. Fedorenko ◽  
V. Blavatska ◽  
Yu. Holovatch
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Critical Behavior ◽  
Two Dimensional

A Test of Scaling Theory on the Critical Isotherm

1972 ◽  
Vol 50 (24) ◽  
pp. 3117-3122 ◽  
Author(s):  
D. D. Betts ◽  
L. Filipow
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Excellent Agreement ◽  
Critical Behavior ◽  
Critical Exponents ◽  
High Field ◽  
Two Dimensional ◽  
Amplitude Ratios ◽  
Critical Amplitude ◽  
Critical Isotherm

Using recently extended data of Sykes et al. on the high field expansion of the free energy of the two-dimensional spin-1/2 Ising model the critical behavior of the magnetization and its first six temperature derivatives are examined on the critical isotherm. The estimates of the critical exponents and the critical amplitude ratios are found to be in reasonable to excellent agreement with scaling theories.

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