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Critical point determination from probability distribution functions in the three dimensional Ising model

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  • Sastre, Francisco

Abstract

In this work we propose a new numerical method to evaluate the critical point, the susceptibility critical exponent and the correlation length critical exponent of the three dimensional Ising model without external field using an algorithm that evaluates directly the derivative of the logarithm of the probability distribution function with respect to the magnetisation. Using standard finite-size scaling theory we found that correction-to-scaling effects are not present within this approach. Our results are in good agreement with previous reported values for the three dimensional Ising model.

Suggested Citation

  • Sastre, Francisco, 2021. "Critical point determination from probability distribution functions in the three dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    • Handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001539
    DOI: 10.1016/j.physa.2021.125881
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    References listed on IDEAS

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    1. Fulco, U.L. & Lucena, L.S. & Viswanathan, G.M., 1999. "Efficient search of critical points in Ising-like systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 171-179.
    2. P.M.C. de Oliveira & T.J.P. Penna & H.J. Herrmann, 1998. "Broad histogram Monte Carlo," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 1(2), pages 205-208, January.
    3. Alfred Hüller & Michel Pleimling, 2002. "Microcanonical Determination Of The Order Parameter Critical Exponent," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(07), pages 947-956.
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