2019/06/30 by Antonio Astillero, A. Astillero, J. J. Ruiz-Lorenzo · 8 citations
Mathematics · Physics and Astronomy · #Algorithm #Autocorrelation #Computation #Critical exponent #Exponent #Lattice (music) #Mathematical physics #Mathematics #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.100.062117
published in Physical review. E 100(6), 062117 (American Physical Society) · 10 pages (two columns) and 12 figures. We have extended the paper to cover the equilibrium dynamics of the model
arxiv created 2019/11/11 · openalex publication_date 2019/12/16 · arxiv updated 2019/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Working in and out of equilibrium and using state-of-the-art techniques we have computed the dynamic critical exponent of the three-dimensional Heisenberg model. By computing the integrated autocorrelation time at equilibrium, for lattice sizes L≤64, we have obtained z=2.033(5). In the out-of-equilibrium regime we have run very large lattices (L≤250) obtaining z=2.04(2) from the growth of the correlation length. We compare our values with that previously computed at equilibrium with relatively small lattices (L≤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, η and ν, in the out-of-equilibrium regime.