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

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, , Citation V V Prudnikov et al 2021 J. Phys.: Conf. Ser. 1740 012004 DOI 10.1088/1742-6596/1740/1/012004

1742-6596/1740/1/012004

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.

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10.1088/1742-6596/1740/1/012004