Nonflat histogram techniques for spin glasses

2020/11/11 by Fabio Müller, Stefan Schnabel, Wolfhard Janke
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Ensemble average #Histogram #Hybrid Monte Carlo #Image (mathematics) #Lattice (music) #Materials science #Mathematics #Monte Carlo method #Parallel tempering #Physics #Spin glass #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.1103/physreve.102.053303

openalex publication_date 2020/11/11 · arxiv created 2020/11/17 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the bimodal Edwards-Anderson spin glass comparing established methods, namely the multicanonical method, the 1/k ensemble, and parallel tempering, to an approach where the ensemble is modified by simulating power-law-shaped histograms in energy instead of flat histograms as in the standard multicanonical case. We show that by this modification a significant speed-up in terms of mean round-trip times can be achieved for all lattice sizes taken into consideration.

Citations

• New approach to spin-glass simulations
• Spin-glass overlap barriers in three and four dimensions
• Multicanonical Study of the 3D Ising Spin Glass
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• Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations
• Equation of State Calculations by Fast Computing Machines
• Multicanonical ensemble: A new approach to simulate first-order phase transitions
• Critical behavior of three-dimensional Ising spin glass models