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

Static and dynamic phase transitions in multidimensional voting models on continua.

F Roshani1, A Aghamohammadi, M Khorrami

  • 1Institute for Advanced Studies in Basic Sciences, P.O. Box 159, Zanjan 45195, Iran. farinaz@iasbs.ac.ir

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary

This study investigates a lattice model, revealing static phase transitions driven by bulk reactions and dynamical phase transitions influenced by both bulk reactions and boundary conditions in D-dimensional systems.

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

Noninfectious Complications in B-Lymphopenic Common Variable Immunodeficiency.

Journal of investigational allergology & clinical immunology·2024
Same author

Analysis of Lymphocyte and Clinical Profile in Nonmonogenic Common Variable Immunodeficiency Patients With and Without Class Switch Recombination Defect.

Journal of investigational allergology & clinical immunology·2023
Same author

Effects of excessive water extraction on groundwater ecosystem services: Vulnerability assessments using biophysical approaches.

The Science of the total environment·2021
Same author

Evaluation of patients with primary immunodeficiency associated with Bacille Calmette-Guerin (BCG)-vaccine-derived complications.

Allergologia et immunopathologia·2020
Same author

Mendelian susceptibility to mycobacterial disease: Clinical and immunological findings of patients suspected for IL12Rβ1 deficiency.

Allergologia et immunopathologia·2019
Same author

UNC13D Deficiency Associated With Epileptic Seizures and Antibody Deficiency: The First Case from the Iranian National Registry.

Journal of investigational allergology & clinical immunology·2019

Area of Science:

  • Statistical Mechanics
  • Phase Transitions
  • Lattice Models

Background:

  • Introduces a voting model, a zero-temperature Glauber model generalization, on a multidimensional lattice.
  • Defines system dynamics where adjacent occupied and empty sites evolve to a uniform state (both occupied or both empty).

Purpose of the Study:

  • Investigate the continuum version of this lattice model in D dimensions with boundaries.
  • Analyze two key system behaviors: stationary state and relaxation dynamics.
  • Examine static and dynamical phase transitions within this model.

Main Methods:

  • Continuum limit of a multidimensional lattice model.
  • Analysis of stationary state properties.
  • Study of system relaxation towards equilibrium.

Related Experiment Videos

Main Results:

  • Static phase transitions are solely induced by bulk reactions.
  • Dynamical phase transitions result from the interplay of bulk reactions and boundary conditions.
  • Identified distinct drivers for static versus dynamic phase transitions.

Conclusions:

  • The model exhibits distinct static and dynamic phase transition behaviors.
  • Boundary conditions play a crucial role in the system's dynamic phase transitions.
  • Understanding these transitions is key for complex system dynamics.