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Computation of the dynamic critical exponent of the three-dimensional Heisenberg model.
Phys Rev E. 2019 Dec; 100(6-1):062117.PR

Abstract

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.

Authors+Show Affiliations

Departamento de Tecnología de los Computadores y las Comunicaciones, Universidad de Extremadura, 06800 Mérida, Spain and Instituto de Computación Científica Avanzada (ICCAEx), 06071 Badajoz, Spain.Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain; Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, 06071 Badajoz, Spain; and Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), 50018 Zaragoza, Spain.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

31962386

Citation

Astillero, A, and J J. Ruiz-Lorenzo. "Computation of the Dynamic Critical Exponent of the Three-dimensional Heisenberg Model." Physical Review. E, vol. 100, no. 6-1, 2019, p. 062117.
Astillero A, Ruiz-Lorenzo JJ. Computation of the dynamic critical exponent of the three-dimensional Heisenberg model. Phys Rev E. 2019;100(6-1):062117.
Astillero, A., & Ruiz-Lorenzo, J. J. (2019). Computation of the dynamic critical exponent of the three-dimensional Heisenberg model. Physical Review. E, 100(6-1), 062117. https://doi.org/10.1103/PhysRevE.100.062117
Astillero A, Ruiz-Lorenzo JJ. Computation of the Dynamic Critical Exponent of the Three-dimensional Heisenberg Model. Phys Rev E. 2019;100(6-1):062117. PubMed PMID: 31962386.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Computation of the dynamic critical exponent of the three-dimensional Heisenberg model. AU - Astillero,A, AU - Ruiz-Lorenzo,J J, PY - 2019/06/13/received PY - 2020/1/23/entrez PY - 2020/1/23/pubmed PY - 2020/1/23/medline SP - 062117 EP - 062117 JF - Physical review. E JO - Phys Rev E VL - 100 IS - 6-1 N2 - 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. SN - 2470-0053 UR - https://www.unboundmedicine.com/medline/citation/31962386/Computation_of_the_dynamic_critical_exponent_of_the_three-dimensional_Heisenberg_model DB - PRIME DP - Unbound Medicine ER -
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