scholarly journals Critical behavior of frustrated systems: Monte Carlo simulations versus renormalization group

JETP Letters ◽  
2000 ◽  
Vol 72 (6) ◽  
pp. 337-340 ◽  
Author(s):  
D. Loison ◽  
A. I. Sokolov ◽  
B. Delamotte ◽  
S. A. Antonenko ◽  
K. D. Schotte ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Frustrated Systems

scholarly journals Critical behavior of nonequilibrium models in short-time Monte Carlo simulations

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
Roberto da Silva ◽  
Ronald Dickman ◽  
J. R. Drugowich de Felício
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Short Time ◽  
Nonequilibrium Models

Non-Equilibrium Critical Relaxation of Heisenberg Ferromagnets with Long-Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Initial State ◽  
Short Time ◽  
Theoretic Description ◽  
Good Agreement

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.

DYNAMICAL CRITICAL BEHAVIOR OF THE FOUR-DIMENSIONAL ISING MODEL

1996 ◽  
Vol 06 (06) ◽  
pp. 807-812 ◽  
Author(s):  
JOAN ADLER ◽  
DIETRICH STAUFFER
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Mean Field ◽  
Glauber Dynamics ◽  
Series Analysis ◽  
Logarithmic Corrections ◽  
Field Behavior

Monte Carlo simulations of the Glauber dynamics in the four-dimensional Ising model with up to 3124 spins agree with the theoretically expected logarithmic corrections to mean field behavior, if we assume J/kBTc = 0.14970, consistent with some series analysis.

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
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Two Dimensional ◽  
Rigid Rods

scholarly journals REEXAMINATION OF SEVEN-DIMENSIONAL SITE PERCOLATION THRESHOLD

2000 ◽  
Vol 11 (01) ◽  
pp. 205-209 ◽  
Author(s):  
DIETRICH STAUFFER ◽  
ROBERT M. ZIFF
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Monte Carlo Simulations ◽  
Percolation Threshold ◽  
Critical Dimension ◽  
Corrections To Scaling ◽  
Site Percolation ◽  
Upper Critical Dimension ◽  
Size Dependent ◽  
Previous Series

Monte Carlo simulations alone could not clarify the corrections to scaling for the size-dependent pc(L) above the upper critical dimension. Including the previous series estimate for the bulk threshold pc (∞) gives preference for the complicated corrections predicted by renormalization group and against the simple 1/L extrapolation. Additional Monte-Carlo simulations using the Leath method corroborate the series result for pc.

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