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-exchange algorithm and results for the three-dimensional random field ising model

Machta1, Newman, Chayes

  • 1Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003-3720, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
Summary
This summary is machine-generated.

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

New Method of Amputating at the Hip-Joint.

Glasgow medical journal·2018
Same author

Intermittent vomiting. [Volvulus of intestine].

Case reports. Children's Memorial Hospital (Chicago, Ill.)·2010
Same author

Receding chin; difficult breathing.

Case reports. Children's Memorial Hospital (Chicago, Ill.)·2010
Same author

Swelling of the neck. [Hodgkin's disease].

Case reports. Children's Memorial Hospital (Chicago, Ill.)·2010
Same author

Congenital abnormalities. [Bladder duplication].

Case reports. Children's Memorial Hospital (Chicago, Ill.)·2010
Same author

October 18, 2000 8:30-8:45. Problem Solving with FDG Positron Emission Mammography.

Clinical positron imaging : official journal of the Institute for Clinical P.E.T·2001

A new Monte Carlo algorithm enhances the study of the random field Ising model with Gaussian disorder. This efficient method reveals variations in phase transitions across different disorder realizations, suggesting first-order transitions in some cases.

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • The random field Ising model (RFIM) is a fundamental model in statistical mechanics for understanding disordered magnetic systems.
  • Investigating the phase transitions in RFIM with quenched disorder is computationally challenging.
  • Previous methods, like the Metropolis algorithm, face limitations in efficiency for certain disorder configurations.

Purpose of the Study:

  • To develop and apply a more efficient Monte Carlo algorithm for studying the 3D RFIM with Gaussian disorder.
  • To analyze the impact of disorder on the nature of phase transitions in the RFIM.
  • To characterize energy and magnetization distributions for various disorder realizations.

Main Methods:

  • Implementation of a novel Monte Carlo algorithm combining replica-exchange and two-replica cluster methods.

Related Experiment Videos

  • Simulation of three-dimensional RFIM systems of size 24x24x24.
  • Tuning temperature and uniform field to the phase-transition region for each specific disorder realization.

    • Main Results:

    • The new algorithm demonstrates significantly improved efficiency over the Metropolis algorithm for specific disorder realizations.
    • Energy and magnetization distributions exhibit substantial variability across different disorder realizations.
    • Observation of three distinct peaks in magnetization and two in energy distributions for certain disorder realizations, indicative of first-order transitions.

    Conclusions:

    • The developed Monte Carlo method provides a more efficient approach to studying disordered systems like the RFIM.
    • Disorder plays a crucial role in determining the characteristics of phase transitions in the RFIM.
    • The findings suggest the possibility of first-order phase transitions in the 3D RFIM with Gaussian disorder under specific conditions.