ISING CLUSTER FRAGMENTATION AT THE CRITICAL POINT

1999 ◽  
Vol 10 (06) ◽  
pp. 1059-1063
Author(s):  
MUYOUNG HEO ◽  
MOOKYUNG CHEON ◽  
IKSOO CHANG ◽  
DIETRICH STAUFFER
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Curie Point ◽  
Scaling Law ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Percolation Clusters ◽  
Cluster Fragmentation

The scaling law of Edwards et al., for cluster fragmentation of critical percolation clusters is not confirmed by analogous Monte Carlo simulations at the Curie point of the two-dimensional Ising model.

Domain Analysis and Magnetic Relaxation in Thin Films

1998 ◽  
Vol 09 (06) ◽  
pp. 821-825 ◽  
Author(s):  
Tatiana G. Rappoport ◽  
F. S. de Menezes ◽  
L. C. Sampaio ◽  
M. P. Albuquerque ◽  
F. Mello
Keyword(s):  
Magnetic Field ◽  
Thin Films ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Magnetic Relaxation ◽  
Film Plane ◽  
Relative Strength ◽  
Two Dimensional ◽  
Magnetic Domains

We have simulated the magnetic relaxation (M(t)) and the nucleation of magnetic domains in the presence of magnetic field in thin films with anisotropy perpendicular to the film plane. We have used Monte Carlo simulations based on the two-dimensional classical Ising model including the long-range dipole–dipole and Zeeman interactions. Domains nucleated during the magnetic relaxation exhibit very rough interfaces. We analyze the roughness and the M(t) as a function of the relative strength of dipole–dipole and Zeeman terms.

Unphysical Frozen States in Monte Carlo Simulation of 2D Ising Model

1998 ◽  
Vol 09 (06) ◽  
pp. 881-886 ◽  
Author(s):  
Andres R. R. Papa
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Periodic Boundary ◽  
Random Access ◽  
Periodic Boundary Conditions ◽  
Two Dimensional ◽  
Ising Systems

We show that for two-dimensional square Ising systems unphysical frozen states are obtained by just changing the instant of application of periodic boundary conditions during Monte Carlo simulations. The strange behavior is observed up to sample sizes currently used in literature. The anomalous results appear to be associated to the simultaneous use of type writer updating algorithms; they disappear when random access routines are implemented.

scholarly journals MONTE-CARLO SIMULATIONS OF PHASE TRANSITIONS IN THE TWO-DIMENSIONAL ISING MODEL WITH LONG-RANGE CORRELATIONS

2017 ◽  
Vol 18 (9) ◽  
pp. 159-163
Author(s):  
A.A. Biryukov ◽  
Y.V. Degtyareva ◽  
M.A. Shleenkov
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Long Range ◽  
Temperature Increase ◽  
Two Dimensional ◽  
Long Range Correlations

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

Estimates of critical percolation probabilities for a set of two-dimensional lattices

1972 ◽  
Vol 71 (1) ◽  
pp. 97-106 ◽  
Author(s):  
D. G. Neal
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Site Percolation

AbstractThis paper describes new detailed Monte Carlo investigations into bond and site percolation problems on the set of eleven regular and semi-regular (Archimedean) lattices in two dimensions.

Percolation in two-dimensional quasicrystals by Monte Carlo simulations

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