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Nonequilibrium behaviors of 3D Heisenberg model in the Swendsen-Wang algorithm

Recently Y. N. showed that the nonequilibrium critical relaxation of the 2D Ising model from the perfectly-ordered state in the Wolff algorithm is described by the stretched-exponential decay, and found a universal scaling scheme to connect nonequilibrium and equilibrium behaviors. In the present study we extend these findings to vector spin models, and the 3D Heisenberg model could be a typical example. In order to evaluate the critical temperature and critical exponents precisely with the above scaling scheme, we calculate the nonequilibrium ordering from the perfectly-disordered state in the Swendsen-Wamg algorithm, and find that the critical ordering process is described by the stretched-exponential growth with the comparable exponent to that of the 3D XY model. The critical exponents evaluated in the present study are consistent with those in previous studies.