2003/01/30 by P. Calabrese, Pasquale Calabrese, V. Martı́n-Mayor +5 · 11 citations
Mathematics · Physics and Astronomy · #Autocorrelation #Condensed matter physics #Dynamic structure factor #Gaussian #Inelastic scattering #Ising model #Markov Chains and Monte Carlo Methods #Mathematical physics #Mathematics #Momentum (technical analysis) #Monte Carlo method #Omega #Physics #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #Structure factor #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physreve.68.016110
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 68(1), 016110 (American Physical Society) · 21 pages, 3 figures
arxiv created 2003/01/30 · openalex publication_date 2003/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the dynamic structure factor for the three-dimensional Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the epsilon expansion, at two loops in the high-temperature phase and at one loop in the temperature magnetic-field plane, and a Monte Carlo simulation in the high-temperature phase. We find that the dynamic structure factor is very well approximated by its mean-field Gaussian form up to moderately large values of frequency omega and momentum k. In the region we can investigate, k(xi) less than or equal 5, omega(tau) less than or equal 10, where xi is the correlation length and tau is the zero-momentum autocorrelation time, deviations are at most of a few percent.