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

1992/02/29 by Wolfhard Janke, Bernd A. Berg, Mohammad Katoot · 4 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1016/0550-3213(92)90663-v

published as Nucl.Phys. B382 (1992) 649-661

arxiv created 1992/04/08 · openalex publication_date 1992/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using the recently proposed multicanonical ensemble, we perform Monte Carlo simulation for the 2d 7-state Potts model and calculate its surface free energy density (surface tension) to be 2 f^s = 0.0241 ± 0.0010. This is an order of magnitude smaller than other estimates in the recent literature. Relying on existing Monte Carlo data, we also give a preliminary estimate for the surface tension of 4d SU(3) lattice gauge theory with L_t=2.

Citations

• Multicanonical ensemble: A new approach to simulate first-order phase transitions

Cited by

• Multicanonical multigrid Monte Carlo method
• Multicanonical cluster algorithm
• Cluster dynamics for first-order phase transitions in the Potts model
• The confined-deconfined interface tension in quenched QCD using the histogram method