Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Random-bond Potts model in the large-q limit.

R Juhász1, H Rieger, F Iglói

  • 1Institute for Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

We investigated the random ferromagnetic Potts model

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Clinical trial of insulin-like growth factor-1 in Phelan-McDermid syndrome.

Molecular autism·2022
Same author

Lameness in fattening pigs - Mycoplasma hyosynoviae, osteochondropathy and reduced dietary phosphorus level as three influencing factors: a case report.

Porcine health management·2020
Same author

[Dislocation of the cuboid bone following distortion trauma : Case report of an atypical Lisfranc injury].

Der Unfallchirurg·2020
Same author

Abstracts of the 33rd International Austrian Winter Symposium : Zell am See, Austria. 24-27 January 2018.

EJNMMI research·2018
Same author

Applicability of the EORTC/MSG criteria for IFD in clinical practice.

Annals of hematology·2014
Same author

[Hyperbaric oxygen therapy for necrotizing soft tissue infections: contra].

Der Chirurg; Zeitschrift fur alle Gebiete der operativen Medizen·2012

Area of Science:

  • Statistical physics
  • Condensed matter physics

Background:

  • The q-state Potts model is a fundamental model in statistical mechanics.
  • Understanding critical phenomena in disordered systems is crucial for materials science.

Purpose of the Study:

  • To analyze the critical behavior of the q-state Potts model with random ferromagnetic couplings.
  • To explore the relationship between fractal graph properties and critical singularities.

Main Methods:

  • Utilized a cluster representation for the partition sum in the large-q limit.
  • Employed simulated annealing and a combinatorial algorithm on a square lattice.
  • Estimated critical exponents for magnetization and correlation length.

Main Results:

  • Identified a dominant graph in the large-q limit whose fractal properties govern critical singularities.
  • Obtained numerical estimates for critical exponents.
  • Compared numerical results with conformal predictions.

Conclusions:

  • The fractal properties of the dominant graph are key to understanding the random-Potts model's critical behavior.
  • Numerical results align with theoretical predictions, validating the approach.

Related Experiment Videos