Dynamic critical exponent z of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model

2019/08/31 by Martin Hasenbusch
Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Discrete mathematics #Exponent #Geometry #Ising model #Markov Chains and Monte Carlo Methods #Mathematics #Monte Carlo method #Physics #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.101.022126

published as Phys. Rev. E 101, 022126 (2020) · 37 pages, 6 figures; largely extended compared with previous version, additional simulations

openalex publication_date 2020/02/24 · arxiv created 2020/02/27 · arxiv updated 2020/02/28 · openalex created_date 2020/03/06 · openalex updated_date 2026/08/05

Abstract

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice by using local algorithms. We perform a finite size scaling analysis of the integrated autocorrelation time of the magnetic susceptibility in equilibrium at the critical point. We obtain z=2.0245(15) for the dynamic critical exponent. As a complement, fully magnetized configurations are suddenly quenched to the critical temperature, giving consistent results for the dynamic critical exponent. Furthermore, our estimate of z is fully consistent with recent field theoretic results.

Citations

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