Monte Carlo Study of the Effect of Initial States and Structural Defects on Nonequilibrium Critical Behavior of the Three-Dimensional Ising Model

2018 ◽  
Vol 60 (6) ◽  
pp. 1098-1110 ◽  
Author(s):  
V. V. Prudnikov ◽  
P. V. Prudnikov ◽  
P. N. Malyarenko
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Critical Behavior ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
Structural Defects ◽  
Initial States

INFLUENCE OF STRUCTURAL DEFECTS ON NONEQUILIBRIUM CRITICAL BEHAVIOR OF THREE-DIMENSIONAL ANISOTROPIC HEISENBERG MODEL

2020 ◽  
Vol 25 (2) ◽  
pp. 13-23
Author(s):  
Vladimir Prudnikov ◽  
Pavel Prudnikov ◽  
Anton Demiyanenko ◽  
Yurii Kovalev
Keyword(s):  
Low Temperature ◽  
Critical Behavior ◽  
Easy Axis ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
Structural Defects ◽  
Anisotropic Model ◽  
Isotropic Model ◽  
Initial State ◽  
Initial States

The results of a Monte Carlo study of features of structural defects influence on nonequi-librium critical behavior of three-dimensional isotropic and anisotropic Heisenberg models are presented with their evolution from different initial states. It is shown that presence of defects changes characteristics of nonequilibrium critical behavior of anisotropic model with easy axis anisotropy type and evolution from both high-temperature and low-temperature initial states. Presence defects is relevant only for characteristics of nonequi-librium critical behavior of isotropic model with evolution from low-temperature initial state leading to superaging effects.

scholarly journals Монте-Карло-исследование влияния начальных состояний и дефектов структуры на неравновесное критическое поведение трехмерной модели Изинга

2018 ◽  
Vol 60 (6) ◽  
pp. 1086
Author(s):  
В.В. Прудников ◽  
П.В. Прудников ◽  
П.Н. Маляренко
Keyword(s):  
Ising Model ◽  
Time Dependence ◽  
Critical Behavior ◽  
Three Dimensional ◽  
Structural Defects ◽  
Dynamic Susceptibility ◽  
Aging Effects ◽  
Fluctuation Dissipation ◽  
Anomalous Relaxation ◽  
Initial States

AbstractThe effect of various initial magnetizations m _0 and structural defects the nonequilibrium critical behavior of the three-dimensional Ising model is numerically studied. Based on an analysis of the time dependence of the magnetization and the two-time dependence of the autocorrelation function and dynamic susceptibility, the significant effect of initial states on relaxation magnetizations and aging effects characterized by anomalous relaxation inhibition and correlation in the system with increasing waiting time was revealed. The fluctuation–dissipation theorem violation was studied, and the values of the limit fluctuation–dissipation ratio (FDR) are calculated. It is shown that two universality subclasses can be distinguished in the nonequilibrium critical behavior of the three-dimensional Ising model with random initial magnetization m _0 These subclasses correspond to the system evolution from the high-temperature ( m _0 = 0) and low-temperature ( m _0 = 1) initial states with limit FDRs characteristic of these states.

scholarly journals Three-dimensional Ising model in the fixed-magnetization ensemble: A Monte Carlo study

2000 ◽  
Vol 62 (1) ◽  
pp. 77-82 ◽  
Author(s):  
H. W. J. Blöte ◽  
J. R. Heringa ◽  
M. M. Tsypin
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Three Dimensional ◽  
Monte Carlo Study
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