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arXiv · hep-lat/9412085

Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional $ϕ^4$-Model: Autocorrelations and Interface Tension

Wolfhard Janke·Tilman Sauer
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Abstract

We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar $ϕ^4$-model on a square lattice. To investigate the performance 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 multicanonical simulations a real-time improvement of about one order of magnitude is established. The interface tension between the two ordered phases is extracted from high-statistics histograms of the magnetization applying histogram reweighting techniques.

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Wolfhard Janke, Tilman Sauer. 1994-12-17. Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional $ϕ^4$-Model: Autocorrelations and Interface Tension. https://doi.org/10.1007/bf02183687

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