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

Replica-symmetry-breaking transition in finite-size simulations

Hukushima1, Kawamura

  • 1Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwa-no-ha, Kashiwa, Chiba 277-8581, Japan.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

Finite-size effects in spin glass models were studied. The Binder parameter

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

Corrigendum to "I-ceuI fragment analysis of the shigella species: evidence for large-scale chromosome rearrangement in S. dysenteriae and S. flexneri".

FEMS microbiology letters·2001
Same author

Chiral-glass transition and replica symmetry breaking of a three-dimensional heisenberg spin glass

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Determination of alpha- and beta-hydroxycarbonyls and dicarbonyls in snow and rain samples by GC/FID and GC/MS employing benzyl hydroxyl oxime derivatization

Analytical chemistry·2000
Same author

Palladium-catalyzed cyanation of propargylic carbonates with trimethylsilyl cyanide

Organic letters·2000
Same author

X-ray standing wave as a result of only the imaginary part of the atomic scattering factor.

Acta crystallographica. Section A, Foundations of crystallography·2000
Same author

Contribution of the portal flow on hepatic tissue perfusion increases in reduced hepatic vascular bed.

Hepatology research : the official journal of the Japan Society of Hepatology·2000

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Spin glass models are crucial for understanding complex magnetic phenomena.
  • Mean-field models provide a theoretical foundation for studying phase transitions.
  • Replica-symmetry breaking (RSB) is a key concept in spin glass theory.

Purpose of the Study:

  • To investigate finite-size effects in the mean-field Ising and three-state Potts spin glass models.
  • To analyze the behavior of the Binder parameter and non-self-averaging parameters near phase transitions.
  • To assess the reliability of the Binder parameter for detecting phase transitions in systems with one-step RSB.

Main Methods:

  • Monte Carlo simulations were employed to study finite-size effects.
  • The Binder parameter was calculated for various finite sizes in both models.
  • Non-self-averaging parameters were also analyzed for comparison.

Main Results:

  • In the Ising spin glass, the Binder parameter shows a crossing at the transition temperature.
  • In the three-state Potts glass, the Binder parameter exhibits a negative dip and no clear crossing.
  • Non-self-averaging parameters consistently show a clear crossing at the transition temperature in both models.

Conclusions:

  • The Binder parameter's behavior differs significantly between the Ising and Potts spin glass models.
  • Care must be taken when interpreting Binder parameter data, especially in systems with one-step RSB.
  • Non-self-averaging parameters offer a more robust indicator of phase transitions in these spin glass systems.

Related Experiment Videos