Herald of Omsk University

Nonequilibrium critical behavior of weakly diluted three-dimensional anisotropic Heisenberg model

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, V.V. Khitrintseva

Published Jan 1, 2022• 0 citations

Abstract

The results of a Monte Carlo study of weakly structural disorder influence onnonequilibrium critical behavior of three-dimensional anisotropic Heisenberg models with spin concentration p = 0.9 are presented with its evolution from high temperature initial state. It is shown that presence of even weakly disorder changes characteristics of nonequilibrium critical behavior of anisotropic model with easy axis anisotropy type in comparison with both pure anisotropic and isotropic Heisenberg models.

DOI: 10.24147/1812-3996.2022.27(2).31-39

Related papers

Nonequilibrium critical behaviour of Strongly diluted three-dimensional anisotropic Heisenberg model

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, V.V. Khitrintseva

The results of a Monte Carlo study of strongly structural disorder influence on nonequilibrium critical behavior of three-dimensional anisotropic Heisenberg models with spin concentration p = 0.5 are presented with its evolution from high and low temperature initial state. It is shown that presence of strongly disorder changes characteristics of nonequilibrium critical behavior of anisotropic model with easy axis anisotropy type in comparison with both pure anisotropic and isotropic Heisenberg models.

Herald of Omsk UniversityJan 1, 20220 citations

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

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Anton Demiyanenko +1 more

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.

Herald of Omsk UniversityJan 1, 20201 citation

STUDY OF STRUCTURE DEFECTS INFLUENCE ON THE NONEQUILIBRIUM CRITICAL BEHAVIOR OF THE ANISOTROPIC HEISENBERG MODEL

V.V. Khitrintseva, V.Ya. Prudnikov, В. В. Хитринцева +1 more

The Monte Carlo study of structural disorder influence on nonequilibrium critical behavior of three-dimensional anisotropic Heisenberg model has performed. It is shown that presence of disorder leads to radically changes of characteristics of nonequilibrium critical behavior of this model.

Jan 1, 20230 citations

Simulation of non-equilibrium critical behavior of the 3D isotropic and anisotropic Heisenberg models

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Evgenii A. Pospelov +1 more

Abstract Monte Carlo study of non-equilibrium critical behavior of three-dimensional Heisenberg model in isotropic case and with anisotropy of easy axis type is carried out. Relaxational Glauber-like dynamics of these models with evolution from high-temperature initial state is investigated. Realization of aging is demonstrated for two-time dependence of the autocorrelation function and dynamical susceptibility. Asymptotic fluctuation-dissipation ratios are determined for isotropic X ∞ = 0.383(6) and anisotropic X ∞ = 0.392(7) Heisenberg models. Significant influence of easy-axis anisotropy on non-equilibrium critical behavior of the 3D Heisenberg model leading to characteristics typical for the 3D Ising model is revealed.

Journal of Physics Conference SeriesJan 1, 20210 citations

MEMORY EFFECTS IN nonequilibrium critical behavior of DILUTED three-dimensional anisotropic heisenberg model

Vladimir V. Prudnikov, V.V. Khitrintseva

The results of a numerical Monte Carlo study of memory effects in the three-dimensional anisotropic Heisenberg model are presented. It is shown that the manifestationof memory effects with respect to thermal cycling for the case of system evolution from low-temperature and high-temperature initial states are characterized by the different nature. Strong influence of structure defects on memory effects is revealed.

Herald of Omsk UniversityJan 1, 20230 citations

STUDY OF THE INFLUENCE OF ANISOTROPY AND STRUCTURAL DEFECTS ON THE NON‑EQUILIBRIUM CRITICAL BEHAVIOR OF THE HEISENBERG MODEL

V.V. Khitrintseva

The Monte Carlo study of structural disorder and anisotropy influence on nonequilibrium critical behavior of 3d Heisenberg model has performed. Superaging effects and three universality classes were identified for easy-axis anisotropy. Easy-plane anisotropy leads to XY-type behavior, which is insensitive to defects.

Jan 1, 20260 citations