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First-order transition in a three-dimensional disordered system.

L A Fernández1, A Gordillo-Guerrero, V Martín-Mayor

  • 1Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain.

Physical Review Letters
|March 21, 2008
PubMed
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We detail a 3D study of phase transitions with disorder, finding a tricritical point near the pure system limit. This research uses a novel disorder average method and entropy calculations for enhanced accuracy in studying the four states Potts model.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • First-order phase transitions can become second-order in the presence of disorder.
  • Understanding the behavior of disordered systems is crucial in condensed matter physics.
  • The four states Potts model is a standard model for studying phase transitions.

Purpose of the Study:

  • To perform the first detailed 3D numerical study of a first-order phase transition in a disordered system.
  • To investigate the ferromagnetic-paramagnetic transition in the site-diluted four states Potts model.
  • To characterize the tricritical point separating first-order and second-order transitions.

Main Methods:

  • Three-dimensional numerical simulations.
  • Finite-size scaling analysis.

Related Experiment Videos

  • A novel definition of disorder average avoiding diverging variances.
  • Microcanonical Monte Carlo method utilizing entropy.

    • Main Results:

    • The ferromagnetic-paramagnetic transition remains first-order even with quenched disorder.
    • A tricritical point was identified near the pure-system limit.
    • The new disorder average method overcomes limitations of standard approaches.

    Conclusions:

    • Quenched disorder does not necessarily change the order of this phase transition.
    • The identified tricritical point offers new insights into critical phenomena.
    • The novel methodology provides a more robust framework for studying disordered systems.