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Three-dimensional Baxter-Wu model.

L N Jorge1, L S Ferreira2, A A Caparica2

  • 1Instituto Federal do Mato Grosso, Campus Cáceres, CEP. 78200-000, Cáceres, Mato Grosso, Brazil.

Physical Review. E
|October 24, 2019
PubMed
Summary
This summary is machine-generated.

This study presents a 3D spin model using the Baxter-Wu scheme. Entropic sampling simulations reveal a first-order phase transition, with a precise transition temperature of Tc=11.377485(29).

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • The Baxter-Wu model is a foundational 2D lattice model.
  • Extending spin models to three dimensions is crucial for understanding complex magnetic phenomena.

Purpose of the Study:

  • To introduce and analyze a classic three-dimensional (3D) spin model based on the Baxter-Wu scheme.
  • To investigate the nature of the phase transition in this 3D model using advanced simulation techniques.

Main Methods:

  • Utilized entropic sampling simulations to explore the model's thermodynamic properties.
  • Applied a finite-size scaling procedure to accurately determine critical parameters.
  • Analyzed the behavior of energy and magnetization fourth-order cumulants.

Main Results:

  • The analysis of cumulants strongly indicates a first-order phase transition.
  • Confirmed that the system exhibits scaling behavior consistent with three-dimensional systems (d=3).
  • Obtained a high-resolution estimate for the critical temperature: Tc = 11.377485(29).

Conclusions:

  • The 3D Baxter-Wu spin model undergoes a first-order phase transition.
  • The simulation methodology provides a reliable method for estimating critical temperatures in 3D spin systems.
  • This work contributes to the understanding of phase transitions in magnetic materials.