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Dynamic phase transition in a rotating external field.

Naoya Fujiwara1, Takeo Kobayashi, Hirokazu Fujisaka

  • 1Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan. naoya@acs.i.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
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This study explores dynamic phase transitions in anisotropic XY spin systems under rotating fields, revealing complex behaviors like limit cycles and chaos. Researchers identified distinct pathways to quasiperiodic oscillations and two types of chaotic motion.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • The Ginzburg-Landau model is crucial for understanding phase transitions.
  • Anisotropic XY spin systems exhibit complex dynamics under external fields.

Purpose of the Study:

  • Investigate dynamic phase transitions in anisotropic XY spin systems.
  • Characterize oscillations, limit cycles, and chaotic behaviors.
  • Identify mechanisms for quasiperiodic oscillations and types of chaos.

Main Methods:

  • Utilized the Ginzburg-Landau model.
  • Simulated anisotropic XY spin systems in a rotating external field.

Main Results:

  • Observed various oscillations, including limit cycles and quasiperiodic oscillations.

Related Experiment Videos

  • Identified saddle-node and Hopf bifurcations leading to quasiperiodic behavior.
  • Discovered two distinct types of chaotic dynamics, one with symmetry and one without.

    • Conclusions:

    • Dynamic phase transitions in this system are rich and complex.
    • The system exhibits multiple routes to chaos and quasiperiodicity.
    • Understanding these dynamics is key for spin system research.