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

We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalarφ⁴ 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.