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Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States

Fugao Wang and D. P. Landau
Phys. Rev. Lett. 86, 2050 – Published 5 March 2001
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Abstract

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.

  • Received 25 October 2000

DOI:

Authors & Affiliations

Fugao Wang and D. P. Landau

  • Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602

References

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Issue

Vol. 86, Iss. 10 — 5 March 2001

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