Jove
Visualize
Contact Us

Related Experiment Videos

Mean-field results for the two-component model.

Katarzyna Sznajd-Weron1

  • 1Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50-204 Wrocław, Poland. kweron@ift.uni.wroc.pl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary

This study introduces a mean-field version of the two-component (TC) Ising spin model. The new formulation simplifies complex dynamics, explaining relaxation differences observed in simulations.

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

Pair approximation of the biased-independence q-voter model for innovation diffusion in organizational networks.

Scientific reports·2026
Same author

Decision-making under negativity bias: Double hysteresis in the opinion-dependent q-voter model.

Chaos (Woodbury, N.Y.)·2026
Same author

When heterogeneity drives hysteresis: Anticonformity in the multistate q-voter model on networks.

Physical review. E·2025
Same author

Modeling biases in binary decision-making within the generalized nonlinear q-voter model.

Chaos (Woodbury, N.Y.)·2025
Same author

Toward Understanding of the Social Hysteresis: Insights From Agent-Based Modeling.

Perspectives on psychological science : a journal of the Association for Psychological Science·2023
Same author

Switching from a continuous to a discontinuous phase transition under quenched disorder.

Physical review. E·2022
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

Area of Science:

  • Statistical mechanics
  • Computational physics
  • Dynamical systems

Background:

  • Previous work introduced the two-component (TC) Ising spin model.
  • Computer simulations revealed distinct relaxation behaviors for the TC model on a square lattice.

Purpose of the Study:

  • To formulate a mean-field version of the two-component (TC) Ising spin model.
  • To analyze the model's kinetics using a simplified stochastic process.
  • To elucidate the underlying reasons for observed relaxation differences between phases.

Main Methods:

  • The two-component (TC) model was placed on a complete graph to derive a mean-field approximation.
  • The system's kinetics were described as a one-dimensional stochastic process.
  • Hopping probabilities were defined as functions of magnetization.

Main Results:

  • The mean-field approach successfully simplifies the TC model's dynamics.
  • The one-dimensional stochastic process accurately captures the system's relaxation behavior.
  • This formulation explains the phase-dependent relaxation differences previously seen in simulations.

Conclusions:

  • The mean-field formulation provides a tractable framework for understanding the two-component (TC) Ising spin model.
  • The simplified stochastic process offers insights into the model's kinetic properties.
  • This work bridges theoretical modeling and simulation observations for spin dynamics.

Related Experiment Videos