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Related Experiment Videos

Continuous majority-vote model.

L S A Costa1, Adauto J F de Souza

  • 1Departamento de Física e Matemática, Universidade Federal Rural de Pernambuco, 52171-030 Recife PE, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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We explored a kinetic irreversible XY model using Monte Carlo simulations. The study found a Kosterlitz-Thouless-like phase and confirmed expected dynamic critical exponent values.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The XY model is a fundamental model in statistical mechanics to study phase transitions.
  • Understanding dynamic critical behavior is crucial for characterizing systems far from equilibrium.

Purpose of the Study:

  • To introduce and investigate the dynamic critical behavior of a kinetic irreversible XY model.
  • To determine if the model exhibits a Kosterlitz-Thouless-like phase.
  • To analyze critical exponents in the context of dynamic phase transitions.

Main Methods:

  • Short-time Monte Carlo simulations were employed.
  • Simulations were performed on square lattices with periodic boundary conditions.
  • The system was initialized in an ordered state.

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Main Results:

  • Evidence suggests the system exhibits a Kosterlitz-Thouless-like phase at low noise parameters.
  • Results for the correlation function exponent eta were presented for various noise values.
  • The dynamic critical exponent z aligns with theoretical expectations for local update Monte Carlo rules.

Conclusions:

  • The kinetic irreversible XY model displays interesting dynamic critical phenomena.
  • The findings support the existence of a Kosterlitz-Thouless-like phase under specific conditions.
  • The simulation methodology accurately captures the expected dynamic critical behavior.