1999/10/31 by Bernd A. Berg, Alain Billoire, A. Billoire +1
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Autocorrelation #Complex Systems and Time Series Analysis #Condensed matter physics #Ising model #Ising spin #Lattice (music) #Mathematics #Monte Carlo method #Physics #Spin glass #Statistical physics #Statistics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.61.12143
published as Phys. Rev. B61 (2000) 12143-12150 · 20 pages, Latex, 12 Postscript figures, revised version to appear in Phys. Rev. B
arxiv created 2000/04/15 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For the Edwards-Anderson Ising spin-glass model in three and four dimensions (3d and 4d) we have performed high statistics Monte Carlo calculations of those free-energy barriers FBq which are visible in the probability density PJ(q) of the Parisi overlap parameter q. The calculations rely on the recently introduced multioverlap algorithm. In both dimensions, within the limits of lattice sizes investigated, these barriers are found to be non-self-averaging and the same is true for the autocorrelation times of our algorithm. Further, we present evidence that barriers hidden in q dominate the canonical autocorrelation times.