Off-equilibrium computation of the dynamic critical exponent of the three-dimensional Heisenberg model

A. Astillero, J. J. Ruiz-Lorenzo

Published 2019-06-11Version 1

Working in the out of equilibrium regime and using state-of-the-art techniques we have computed the dynamic critical exponent of the three dimensional Heisenberg model. We have run very large lattices ($L\le 250$) in CPUs and GPUs obtaining $z=2.041(16)$ from the growth of the correlation length and $z=2.034(22)$ for the decay of the energy. We compare our values with that previously computed at equilibrium with relatively small lattices ($L\le 24$), with that provided by means a three-loops calculation using perturbation theory and with experiments. Finally we have checked previous estimates of the static critical exponents, $\eta$ and $\nu$, in this out of equilibrium regime.