2002/10/22 by Alain Billoire, A. Billoire, Barbara Coluzzi · 25 citations
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #CHAOS (operating system) #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Field (mathematics) #Line (geometry) #Magnetic field #Material Dynamics and Properties #Mathematics #Monte Carlo method #Parallel tempering #Physics #Quantum mechanics #Spin glass #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.036108
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 67(3), 036108 (American Physical Society) · Latex, 16 pages including 20 postscript figures
arxiv created 2002/10/22 · openalex publication_date 2003/03/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the Sherrington-Kirkpatrick model, both above and below the de Almeida-Thouless line, by using a modified version of the Parallel Tempering algorithm in which the system is allowed to move between different values of the magnetic field h. The behavior of the probability distribution of the overlap between two replicas at different values of the magnetic field h(0) and h(1) gives clear evidence for the presence of magnetic field chaos already for moderate system sizes, in contrast to the case of temperature chaos, which is not visible on system sizes that can currently be thermalized.