Jove
Visualize
Contact Us

Related Experiment Videos

Random-energy model in random fields.

Luiz O de Oliveira Filho1, Francisco Alexandre da Costa, Carlos S O Yokoi

  • 1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, SP, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
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

Elastic Maier-Saupe-Zwanzig model and some properties of nematic elastomers.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011
See all related articles
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

This study exactly solves the random-energy model with random fields, revealing unique phase diagrams. Bimodal fields may induce tricritical points and first-order transitions, unlike Gaussian fields.

Area of Science:

  • Statistical physics
  • Condensed matter theory
  • Phase transitions

Background:

  • The random-energy model (REM) is a fundamental model in statistical physics.
  • Understanding the effects of disorder (random fields) is crucial for condensed matter systems.
  • Exact solutions are highly valuable for validating theoretical approaches.

Purpose of the Study:

  • To investigate the random-energy model under the influence of random fields.
  • To determine the phase diagrams for both bimodal and Gaussian random fields.
  • To explore the possibility of novel phase transitions induced by specific random field distributions.

Main Methods:

  • Exact solution of the random-energy model.
  • Analysis in both microcanonical and canonical ensembles.

Related Experiment Videos

  • Application of the replica method for the canonical ensemble.

    • Main Results:

    • The random-energy model is solved exactly in the presence of random fields.
    • Detailed phase diagrams are presented for bimodal and Gaussian random fields.
    • Bimodal random fields can lead to a tricritical point and first-order transitions, unlike Gaussian fields.

    Conclusions:

    • The study provides an exact solution for the random-energy model with random fields.
    • Bimodal random fields exhibit richer phase behavior, including potential first-order transitions.
    • A first-order transition from paramagnetic to a mixed phase is a notable finding.