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A New History-Driven Algorithm to Calculate the Density of States

2011/11/30 by Shijun Lei, Lei, Shijun
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1111.7059

7 pages, 2 figures, 1 table

arxiv created 2011/11/30 · openalex publication_date 2011/11/30 · arxiv updated 2011/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new Monte Carlo algorithm applying a history-driven mechanism for the calculation of the density of states for classical statistical models. The new method is as efficient as the Wang-Landau method in sampling through the energy range. With the new method, detailed balance is also naturally satisfied in limit and the estimated density of state converges to the exact value. The new method could be easily evolved into the multicanonical method to achieve high accuracy.

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