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An efficient, multiple range random walk algorithm to calculate the density of states

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arxiv cond-mat/0011174 v1 pith:GJ6XKHX5 submitted 2000-11-10 cond-mat.stat-mech

Fugao Wang , D. P. Landau This is my paper · ORCID
classification cond-mat.stat-mech
keywords energyalgorithmdensityefficientindependentorderrandomstates
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We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant density of states is modified continuously to produce locally flat histograms. This method permits us to directly access the free energy and entropy, is independent of temperature, and is efficient for the study of both 1st order and 2nd order phase transitions. It should also be useful for the study of complex systems with a rough energy landscape.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Monte Carlo reconstruction of symmetry-twisted partition function ratios: the critical 3D Ising

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    Monte Carlo reconstruction via interpolating family and flat histograms computes the Z2-twisted thermodynamic Casimir difference in the critical 3D Ising model as 0.327(2).

  2. The confined-deconfined surface tension in SU(N) gauge theories at large N

    hep-lat 2025-02 conditional novelty 6.0 of 10

    The interface tension and latent heat of the SU(N) deconfinement transition scale as N^2 in the continuum limit, with sigma/Tc^3 = 0.0189(11) N^2 - 0.190(19) and L/Tc^4 = 0.354(2) N^2 - 1.65(10).

  3. Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit

    hep-lat 2025-09 unverdicted novelty 5.0 of 10

    Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.

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