English

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

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar ϕ4\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.

Keywords

Cite

@article{arxiv.hep-lat/9412085,
  title  = {Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional $\phi^4$-Model: Autocorrelations and Interface Tension},
  author = {Wolfhard Janke and Tilman Sauer},
  journal= {arXiv preprint arXiv:hep-lat/9412085},
  year   = {2009}
}

Comments

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