scholarly journals Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations

2008 ◽  
Vol 128 (21) ◽  
pp. 214902 ◽  
Author(s):  
D. A. Matoz-Fernandez ◽  
D. H. Linares ◽  
A. J. Ramirez-Pastor
2013 ◽  
Vol 138 (23) ◽  
pp. 234706 ◽  
Author(s):  
L. G. López ◽  
D. H. Linares ◽  
A. J. Ramirez-Pastor ◽  
D. A. Stariolo ◽  
S. A. Cannas

2010 ◽  
Vol 133 (13) ◽  
pp. 134706 ◽  
Author(s):  
L. G. López ◽  
D. H. Linares ◽  
A. J. Ramirez-Pastor ◽  
S. A. Cannas

1989 ◽  
Vol 22 (14) ◽  
pp. L705-L709 ◽  
Author(s):  
S Sakamoto ◽  
F Yonezawa ◽  
K Aoki ◽  
S Nose ◽  
M Hori

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
Roberto da Silva ◽  
Ronald Dickman ◽  
J. R. Drugowich de Felício

2017 ◽  
Vol 28 (08) ◽  
pp. 1750099
Author(s):  
F. W. S. Lima

We investigate the critical properties of the equilibrium and nonequilibrium two-dimensional (2D) systems on Solomon networks with both nearest and random neighbors. The equilibrium and nonequilibrium 2D systems studied here by Monte Carlo simulations are the Ising and Majority-vote 2D models, respectively. We calculate the critical points as well as the critical exponent ratios [Formula: see text], [Formula: see text], and [Formula: see text]. We find that numerically both systems present the same exponents on Solomon networks (2D) and are of different universality class than the regular 2D ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.


2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.


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