Abstract: We have investigated the non-equilibrium critical behavior of the three-dimensional classical Heisenberg model with evolution from various initial states. Initial states with magnetization m0 ≠ 0 lead to a new time scale ${t}_{m}\sim {m}_{0}^{-k}$ with the exponent k > 0 which produces complex universal scaling forms on the temporal behavior of the magnetization, the autocorrelation function, and the response function. Aging effects have been revealed in two-time behavior of the autocorrelation function with evolution from various initial states. We show that the slowing down of the autocorrelation function during the evolution from high-temperature initial state is considerably more slow than for case of the evolution from low-temperature initial state. Using scaling forms of the magnetization and the autocorrelation function, the values of critical exponents z = 2.035(4), θ' = 0.490(1), and k = 1/(θ' + β/νz) = 1.340(4) were calculated.

Cite: Pospelov E.A. , Prudnikov V.V. , Prudnikov P.V. , Lyakh A.S.
Non-equilibrium critical behavior of the 3D classical Heisenberg model
Journal of Physics: Conference Series. 2019. V.1163. 012020 :1-7. DOI: 10.1088/1742-6596/1163/1/012020 Scopus OpenAlex

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Scopus:	2-s2.0-85064394323
OpenAlex:	W2924281479

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