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On The Wang–Landau Method Using Then-Fold Way

Author

Listed:
  • A. MALAKIS

    (Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece)

  • S. S. MARTINOS

    (Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece)

  • I. A. HADJIAGAPIOU

    (Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece)

  • A. S. PERATZAKIS

    (Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece)

Abstract

We present a variation of theN-fold way algorithm, which improves efficiency when one combines the Wang–Landau method with theN-fold way. It is shown that the new version of theN-fold way algorithm has good performance when used for importance sampling and compared with the usualN-fold version or the Metropolis algorithm. The newN-fold algorithm combined with the Wang–Landau method is applied to the square Ising model using a multi-range approach. A comparative study is presented for all these algorithms, Wang–Landau and the two combined versions with theN-fold way. The role of boundary effects is discussed.

Suggested Citation

  • A. Malakis & S. S. Martinos & I. A. Hadjiagapiou & A. S. Peratzakis, 2004. "On The Wang–Landau Method Using Then-Fold Way," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 729-740.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:05:n:s0129183104006182
    DOI: 10.1142/S0129183104006182
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    References listed on IDEAS

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    1. Heng, Michael S.H., 2001. "Rethinking the strategy of Amazon.com," Serie Research Memoranda 0007, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
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