On Monte Carlo Methods for the Kinetic Ising Model

1993 ◽  
Vol 62 (1) ◽  
pp. 370-371 ◽  
Author(s):  
Hiroshi Takano
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Methods ◽  
Kinetic 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.

Monte Carlo study of growth in the two-dimensional spin-exchange kinetic Ising model

1988 ◽  
Vol 37 (1) ◽  
pp. 196-208 ◽  
Author(s):  
Jacques G. Amar ◽  
Francis E. Sullivan ◽  
Raymond D. Mountain
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Spin Exchange ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Kinetic Ising Model ◽  
Exchange Kinetic

Investigation of the 3D ANNNI Model by Monte Carlo Methods

2009 ◽  
Vol 152-153 ◽  
pp. 575-578 ◽  
Author(s):  
Akai K. Murtazaev ◽  
J.G. Ibaev ◽  
Ya.K. Abuev
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Ising Model ◽  
Temperature Dependence ◽  
Monte Carlo Methods ◽  
Thermal Parameters ◽  
Competing Interactions ◽  
Annni Model

The results for 3D anisotropic Ising model with competing interactions (ANNNI) investigated by the Monte Carlo methods are presented. The temperature dependence of thermal parameters is calculated. The character of all possible phase transitions in the model is analyzed.

scholarly journals Investigation of Multicritical Phenomena in ANNNI Model by Monte Carlo Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-4
Author(s):  
A. K. Murtazaev ◽  
J. G. Ibaev
Keyword(s):  
Phase Diagram ◽  
Heat Capacity ◽  
Monte Carlo ◽  
Ising Model ◽  
Wide Temperature Range ◽  
Monte Carlo Methods ◽  
Correlation Radius ◽  
Competing Interactions ◽  
Annni Model ◽  
Lifshitz Point

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J1/J| parameters by means of Monte Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results, a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

Monte Carlo studies of the kinetic Ising model

1976 ◽  
Vol 13 (7) ◽  
pp. 3025-3033 ◽  
Author(s):  
H. C. Bolton ◽  
C. H. J. Johnson
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Kinetic Ising Model ◽  
Monte Carlo Studies
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