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

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

1994-12-17

arxiv.org/abs/hep-lat/9412085v1

J.Stat.Phys.78:759,1995

Physics

High Energy Physics

High Energy Physics - Lattice

49 pp. Latex incl. 14 figures (Fig.7 not included, sorry) as uuencoded compressed tar file

Scientific paper

10.1007/BF02183687

We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar $\phi^4$-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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