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Simulation of Spin Models in Multicanonical Ensemble with Collective Updates

2004/09/21 by Sylvain Reynal, Reynal, Sylvain, Hung-The Diep +1
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0409529

4 pages, 3 figures

arxiv created 2004/09/21 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a Monte Carlo method which performs a random walk in energy space using cluster-like collective updates. By imposing that bond probabilities depend continuously on the microcanonical temperature, we obtain dynamic exponents close to their ideal random walk values. The method proves remarkably powerful when applied to models governed by long-range interactions, where it straightforwardly combines with the efficient Luijten-Bloete cluster algorithm to yield a dramatic reduction in the computation load.

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