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Magnetically Induced Rotating Rayleigh-Taylor Instability
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The BKT transition and its dynamics in a spin fluid.

Thomas Bissinger1, Matthias Fuchs1

  • 1Fachbereich Physik, Universität Konstanz, 78457 Konstanz, Germany.

The Journal of Chemical Physics
|February 1, 2023
PubMed
Summary

Particle mobility influences phase transitions in 2D spin fluids. Computer simulations reveal a BKT universality class transition, with critical temperature TBKT = 0.17(1).

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Understanding phase transitions in systems with mobile particles is crucial.
  • Spin fluids exhibit complex behaviors influenced by particle interactions and dynamics.
  • The 2D XY model and BKT universality class provide a theoretical framework for such transitions.

Purpose of the Study:

  • To investigate the impact of particle mobility on phase transitions in a 2D spin fluid.
  • To determine if the system exhibits a BKT universality class transition.
  • To analyze both static and dynamic properties around the critical temperature.

Main Methods:

  • Off-lattice computer simulations of particles with purely repulsive interactions.
  • Analysis of static correlation functions and finite-size scaling.

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  • Investigation of dynamic aspects, including spin autocorrelation functions and spin wave dynamics.

    • Main Results:

    • A phase transition belonging to the BKT universality class was identified.
    • A critical temperature TBKT = 0.17(1) was determined.
    • Static correlations transitioned from power-law to exponential decay at TBKT.
    • Dynamic behavior showed agreement with Nelson-Fisher predictions at short times but differed at long times compared to the static XY model.
    • Spin wave dynamics were consistent with hydrodynamic theory, though particle mobility increased damping.

    Conclusions:

    • Particle mobility significantly affects spin wave damping in 2D spin fluids.
    • Despite enhanced damping, the model remains within the dynamic universality class of the standard XY model.
    • The study confirms the presence of a BKT-type phase transition in this off-lattice model.