Density of critical clusters in strips of strongly disordered systems

M. Karsai, I. A. Kovács, J. Ch Anglès D'Auriac, F. Iglói

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider two models with disorder-dominated critical points and study the distribution of clusters that are confined in strips and touch one or both boundaries. For the classical random bond Potts model in the large- q limit, we study optimal Fortuin-Kasteleyn clusters using a combinatorial optimization algorithm. For the random transverse-field Ising chain, clusters are defined and calculated through the strong-disorder renormalization group method. The numerically calculated density profiles close to the boundaries are shown to follow scaling predictions. For the random bond Potts model, we have obtained accurate numerical estimates for the critical exponents and demonstrated that the density profiles are well described by conformal formulas.

Original languageEnglish
Article number061109
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume78
Issue number6
DOIs
Publication statusPublished - Dec 1 2008

Fingerprint

Disordered Systems
Strip
strip
Density Profile
Potts Model
Disorder
disorders
Combinatorial Algorithms
touch
renormalization group methods
Combinatorial Optimization
profiles
Ising
Renormalization Group
Critical Exponents
Critical point
critical point
Optimization Algorithm
Transverse
exponents

ASJC Scopus subject areas

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

Cite this

Density of critical clusters in strips of strongly disordered systems. / Karsai, M.; Kovács, I. A.; Anglès D'Auriac, J. Ch; Iglói, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 78, No. 6, 061109, 01.12.2008.

Research output: Contribution to journalArticle

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