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Lifted worm algorithm for the Ising model

2017/11/14 by Eren Metin Elçi, Jens Grimm, Lijie Ding +3
Mathematics · Physics and Astronomy · #Algorithm #Complex Network Analysis Techniques #Computer science #Critical exponent #Exponent #Geometry #Graph #Ising model #Mathematics #Observable #Physics #Quantum mechanics #Scaling #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Theoretical computer science #Toroid #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.97.042126

published as Phys. Rev. E 97, 042126 (2018) · 9 pages, 6 figures

arxiv created 2017/11/14 · openalex publication_date 2018/04/18 · arxiv updated 2018/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We design an irreversible worm algorithm for the zero-field ferromagnetic Ising model by using the lifting technique. We study the dynamic critical behavior of an energylike observable on both the complete graph and toroidal grids, and compare our findings with reversible algorithms such as the Prokof'ev-Svistunov worm algorithm. Our results show that the lifted worm algorithm improves the dynamic exponent of the energylike observable on the complete graph and leads to a significant constant improvement on toroidal grids.

Citations