Wetting transitions near the bulk critical point: Monte Carlo simulations for the Ising model

1989 ◽  
Vol 40 (10) ◽  
pp. 6971-6979 ◽  
Author(s):  
K. Binder ◽  
D. P. Landau ◽  
S. Wansleben
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Wetting Transitions

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.

The Relation Between Defects and Relaxation in Viscous Liquids

1985 ◽  
Vol 61 ◽  
Author(s):  
S. Brawer
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Relaxation Behavior ◽  
Atomic Diffusion ◽  
Kinetic Ising Model ◽  
Viscous Liquids ◽  
First Approximation

ABSTRACTIt is shown that defects can be identified in liquids, that they are related to atomic diffusion, and a model is described whereby defects give rise to the observed relaxation behavior of viscous liquids. A review is presented of defects in silicate and fluoroberyllate liquids, as studied by computer simulation. It is found that defects have the form of overcoordinated or undercoordinated atoms, and that atomic diffusion occurs only at the site of defects. The manner in which an Ising model can represent the detect structure of viscous liquids to a first approximation is presented. The results of Monte Carlo simulations of a 2-dimensional kinetic Ising model are described. The behavior of this model is qualitatively the same as that of viscous liquids.

scholarly journals MONTE CARLO SIMULATION OF ISING MODEL ON DIRECTED BARABASI–ALBERT NETWORK

2005 ◽  
Vol 16 (04) ◽  
pp. 585-589 ◽  
Author(s):  
MUNEER A. SUMOUR ◽  
M. M. SHABAT
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Characteristic Time ◽  
Spontaneous Magnetization ◽  
Zero Temperature ◽  
Different Temperatures ◽  
Large Systems ◽  
Ising Spins

The existence of spontaneous magnetization of Ising spins on directed Barabasi–Albert networks is investigated with seven neighbors, by using Monte Carlo simulations. In large systems, we see the magnetization for different temperatures T to decay after a characteristic time τ(T), which is extrapolated to diverge at zero temperature.

scholarly journals TESTS OF RANDOM NUMBER GENERATORS USING ISING MODEL SIMULATIONS

1996 ◽  
Vol 07 (03) ◽  
pp. 295-303 ◽  
Author(s):  
P. D. CODDINGTON
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
High Performance ◽  
Large Scale ◽  
Random Number ◽  
Random Number Generators ◽  
Lattice Monte Carlo ◽  
High Performance Computers

Large-scale Monte Carlo simulations require high-quality random number generators to ensure correct results. The contrapositive of this statement is also true — the quality of random number generators can be tested by using them in large-scale Monte Carlo simulations. We have tested many commonly-used random number generators with high precision Monte Carlo simulations of the 2-d Ising model using the Metropolis, Swendsen-Wang, and Wolff algorithms. This work is being extended to the testing of random number generators for parallel computers. The results of these tests are presented, along with recommendations for random number generators for high-performance computers, particularly for lattice Monte Carlo simulations.

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.

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.

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