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Application of the multicanonical multigrid Monte Carlo method to the two-dimensional φ4: Autocorrelations and interface tension: Autocorrelations and interface tension

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Abstract

We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalarφ 4 on a square lattice. To investigate the peformance of the new algorithm at the field-driven first-order phase transitions between the two ordered phases we carefully analyze the autocorrelations of the Monte Carlo process. Compared with standard mlticanonical simulations a real-time improvement of about one order of magnitude is established. The interface tension between the two ordered phases is extracted from highstatistics histograms of the magnetization applying histogram reweighting techniques.

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Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg-Universität Mainz, 55099, Mainz, Germany

    Wolfhard Janke

  2. Institut für Theoretische Physik, Freie Universität Berlin, 14195, Berlin, Germany

    Tilman Sauer

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  1. Wolfhard Janke
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  2. Tilman Sauer
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Janke, W., Sauer, T. Application of the multicanonical multigrid Monte Carlo method to the two-dimensional φ4: Autocorrelations and interface tension: Autocorrelations and interface tension. J Stat Phys 78, 759–798 (1995). https://doi.org/10.1007/BF02183687

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