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

Scaling fields in the two-dimensional Abelian sandpile model.

S Mahieu1, P Ruelle

  • 1Université Catholique de Louvain, Institut de Physique Théorique, B-1348 Louvain-la-Neuve, Belgium.

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

This study links the Abelian sandpile model to conformal field theory. Lattice correlations confirm predictions of a c=-2 conformal field theory, supporting local field theory descriptions.

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

Numerical study of the correspondence between the dissipative and fixed-energy Abelian sandpile models.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
Same author

Eight new alleles found in Flanders (Belgium), including the HLA-DRB1*12:24N allele.

Tissue antigens·2011
Same author

Jamming probabilities for a vacancy in the dimer model.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008
Same author

Evaluation of ADVIA 120 CSF assay (Bayer) vs. chamber counting of cerebrospinal fluid specimens.

Clinical and laboratory haematology·2004
Same author

The n-octanol and n-hexane/water partition coefficient of environmentally relevant chemicals predicted from the mobile order and disorder (MOD) thermodynamics.

Chemosphere·2000
Same author

Aluminum toxicity. Hematological effects.

Toxicology letters·2000

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • The Abelian sandpile model is a paradigm for self-organized criticality.
  • Understanding critical phenomena often involves mapping to field theories.

Purpose of the Study:

  • To investigate the Abelian sandpile model using two-dimensional conformal field theory.
  • To compute lattice correlation functions and determine the scaling limit description.

Main Methods:

  • Calculation of lattice correlation functions for cluster variables.
  • Analysis of results in the scaling limit.
  • Comparison with conformal field theory predictions.

Main Results:

  • Perfect agreement was found between computed correlations and predictions of a c=-2 conformal field theory.

Related Experiment Videos

  • Direct evidence for conformal invariance in the model was obtained.
  • Support for a local field theory description was established.

    • Conclusions:

    • The unoriented two-dimensional Abelian sandpile model exhibits conformal invariance at criticality.
    • The model can be described by a c=-2 conformal field theory and its massive perturbation.
    • Further investigation is needed for the height 2 variable.