Critical and tricritical singularities of the three-dimensional random-bond Potts model for large q

M. T. Mercaldo, J. Ch Anglès D'Auriac, F. Iglói

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Abstract

We study the effect of varying strength δ of bond randomness on the phase transition of the three-dimensional Potts model for large q. The cooperative behavior of the system is determined by large correlated domains in which the spins point in the same direction. These domains have a finite extent in the disordered phase. In the ordered phase there is a percolating cluster of correlated spins. For a sufficiently large disorder δ> δt this percolating cluster coexists with a percolating cluster of noncorrelated spins. Such a coexistence is only possible in more than two dimensions. We argue and check numerically that δt is the tricritical disorder, which separates the first- and second-order transition regimes. The tricritical exponents are estimated as βt νt =0.10(2) and νt =0.67(4). We claim these exponents are q independent for sufficiently large q. In the second-order transition regime the critical exponents βt νt =0.60(2) and νt =0.73(1) are independent of the strength of disorder.

Original languageEnglish
Article number026126
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number2
DOIs
Publication statusPublished - 2006

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Potts Model
Disorder
exponents
disorders
Singularity
Three-dimensional
Exponent
Cooperative Behavior
three dimensional models
Coexistence
Randomness
Critical Exponents
Two Dimensions
Phase Transition
First-order

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Critical and tricritical singularities of the three-dimensional random-bond Potts model for large q. / Mercaldo, M. T.; D'Auriac, J. Ch Anglès; Iglói, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 73, No. 2, 026126, 2006.

Research output: Contribution to journalArticle

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