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Broad Histogram Simulation: Microcanonical Ising Dynamics

Author

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  • Paulo Murilo Castro de Oliveira

    (Instituto de Física, Universidade Federal Fluminense, av. Litorânea s/n, Boa Viagem, Niterói RJ, Brazil 24210-340, Brazil)

Abstract

We revisit here a new Monte Carlo approach, namely the Broad Histogram Method. It is based on two quantities, the numbersNupandNdnof potential modifications which could be performed starting from the system's current state, increasing or decreasing its energyE, respectively. Thus, the energy degeneracyg(E)can be directly determined from the microcanonical averages and of these two quantities. This method was first tested by sampling states from a random walk along the energy axis, for which the control of possible correlations between successive averaging states is not an easy task. Neverthless, the resulting microcanonical averages could not depend upon the particular dynamics used to sample the Markovian chain of averaging states. Here, we test the same method within an alternative dynamics for which the quoted control becomes trivial.

Suggested Citation

  • Paulo Murilo Castro de Oliveira, 1998. "Broad Histogram Simulation: Microcanonical Ising Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 497-503.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:03:n:s012918319800039x
    DOI: 10.1142/S012918319800039X
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