Random-bond Potts model in the large-q limit

Róbert Juhász, Heiko Rieger, F. Iglói

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study the critical behavior of the q-state Potts model with random ferromagnetic couplings. Working with the cluster representation the partition sum of the model in the large-q limit is dominated by a single graph, the fractal properties of which are related to the critical singularities of the random-Potts model. The optimization problem of finding the dominant graph, is studied on the square lattice by simulated annealing and by a combinatorial algorithm. Critical exponents of the magnetization and the correlation length are estimated and conformal predictions are compared with numerical results.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume64
Issue number5
DOIs
Publication statusPublished - Jan 1 2001

Fingerprint

Potts Model
Combinatorial Algorithms
Correlation Length
Graph in graph theory
Critical Behavior
Square Lattice
Simulated Annealing
Magnetization
Critical Exponents
Fractal
Partition
simulated annealing
Singularity
Optimization Problem
Numerical Results
Prediction
partitions
fractals
exponents
magnetization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Random-bond Potts model in the large-q limit. / Juhász, Róbert; Rieger, Heiko; Iglói, F.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 64, No. 5, 01.01.2001.

Research output: Contribution to journalArticle

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