Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Current physics sources and comments

Critical Behaviour of the Two-Dimensional Potts Model with a Continuous Number of States; A Finite Size Scaling Analysis

Henk W. J. Blöte, M. P. Nightingale

Published Jan 1, 1988• 0 citations
Publisher
DOI
10.1016/b978-0-444-87109-1.50020-0

Related papers

Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis

Henk W. J. Blöte, M. P. Nightingale

Physica A Statistical Mechanics and its Applications•Jun 1, 1982•277 citations

Critical properties of the three-state Potts model on two-dimensional lattices: A finite-size scaling study

Muhammet Arucu

Physica A Statistical Mechanics and its Applications•Oct 1, 2026•0 citations

Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model

Jesús Salas, Alan D. Sokal

arXiv:hep-lat/9607030•Journal of Statistical Physics•Aug 1, 1997•128 citations

Critical relaxation of the two-dimensional three-state Potts model with conserved dynamics

M. Aydin, M. Cemal Yalabık

The dynamical critical exponent z is obtained using the finite-size scaling method for the two-dimensional three-state Potts model with conserved dynamics. It is observed that there is a change in the dynamical behaviour of the system at the size n=15. For finite lattices of sizes n<or=15, the value of z is predicted as z=2.0+or-0.1. For n>or=15, the asymptotic behaviour is observed and z is calculated as z=2.78+or-0.20.

Journal of Physics A Mathematical and General•Feb 7, 1988•4 citations

Conformal invariance, finite-size scaling and surface magnetic exponent of the Potts model in two dimensions

Carlo Vanderzande, Attilio L. Stella

The analysis of renormalisation group equations for the q-state Potts model in two dimensions is generalised to include the presence of a surface field H s besides the bulk one, H B . Combined with conformal invariance results, this allows prediction of a surface susceptibility behaviour delta 2/f delta H s delta H B approximately L -1/8 (1-C'lnL) 15/16 for a q=4 system of size L at the critical temperature. This prediction is checked by a Monte Carlo based finite-size scaling analysis, which also nicely reproduces the exact and conjectured magnetic surface exponents for q=2 and 3, respectively. For the Baxter-Wu model similar methods give results consistent with the q=4 behaviour without logarithmic corrections (c'=0).

Journal of Physics A Mathematical and General•Jul 11, 1987•11 citations

Finite size scaling and critical point exponents of the potts model

M. P. Nightingale, Henk W. J. Blöte

Physica A Statistical Mechanics and its Applications•Nov 1, 1980•54 citations
The analysis of renormalisation group equations for the q-state Potts model in two dimensions is generalised to include the presence of a surface field H s besides the bulk one, H B . Combined with conformal invariance results, this allows prediction of a surface susceptibility behaviour delta 2/f delta H s delta H B approximately L -1/8 (1-C'lnL) 15/16 for a q=4 system of size L at the critical temperature. This prediction is checked by a Monte Carlo based finite-size scaling analysis, which also nicely reproduces the exact and conjectured magnetic surface exponents for q=2 and 3, respectively. For the Baxter-Wu model similar methods give results consistent with the q=4 behaviour without logarithmic corrections (c'=0).