Multicanonical multigrid Monte Carlo method

1993/05/20 by Wolfhard Janke, W. Janke, Tilman Sauer +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1103/physreve.49.3475

published as Phys.Rev.E49:3475-3479,1994 · 12 pages LaTex, 1 PS figure appended. FU-Berlin preprint FUB-HEP 9/93

arxiv created 1993/05/20 · openalex publication_date 1994/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

To further improve the performance of Monte Carlo simulations of first-order phase transitions we propose to combine the multicanonical approach with multigrid techniques. We report tests of this proposition for the d-dimensional \mathrm\ensuremathΦ⁴ field theory in two different situations. First, we study quantum tunneling for d=1 in the continuum limit, and second, we investigate first-order phase transitions for d=2 in the infinite volume limit. Compared with standard multicanonical simulations we obtain improvement factors of several, and of about one order of magnitude, respectively.

Citations

• Monte Carlo calculation of the surface free energy for the two-dimensional 7-state Potts model, and an estimate for four-dimensional SU(3) gauge theory
• Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling
• Multicanonical ensemble: A new approach to simulate first-order phase transitions