Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces

A. Malakis, S. S. Martinos, I. A. Hadjiagapiou, Nikolaos G. Fytas, P. Kalozoumis

    Research output: Contribution to conferencePaper

    Abstract

    We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.
    Original languageEnglish
    Pages51-58
    Publication statusPublished - May 2006
    Event2nd Workshop on Functional Materials - Athens, Greece
    Duration: 25 Sept 200528 Sept 2005

    Workshop

    Workshop2nd Workshop on Functional Materials
    Country/TerritoryGreece
    CityAthens
    Period25/09/0528/09/05

    Bibliographical note

    The full text is not available on the repository.

    Keywords

    • MONTE-CARLO RENORMALIZATION
    • HIGH-TEMPERATURE SERIES
    • FINITE-SIZE BEHAVIOR
    • CRITICAL EXPONENTS
    • BROAD HISTOGRAM
    • HEAT EXPONENT
    • DIMENSIONS
    • LATTICE

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