Numerical study of the phase transitions in the two-dimensional Z(5) vector model

2010/11/30 by O. Borisenko, Oleg Borisenko, Gennaro Cortese +3
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physreve.83.041120

25 pages, 12 figures; version to appear on Phys. Rev. E; added two figures, an appendix, some text and a few references

arxiv created 2011/04/08 · openalex publication_date 2011/04/21 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the critical properties of the two-dimensional Z(5) vector model. For this purpose, we propose a cluster algorithm, valid for Z(N) models with odd values of N. The two-dimensional Z(5) vector model is conjectured to exhibit two phase transitions with a massless intermediate phase. We locate the position of the critical points and study the critical behavior across both phase transitions in details. In particular, we determine various critical indices and compare the results with analytical predictions.

Citations

• The two-dimensionalXYmodel at the transition temperature: a high-precision Monte Carlo study
• The Binder cumulant at the Kosterlitz–Thouless transition
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems