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Dynamic phase transition in the kinetic spin-1 Blume-Capel model under a time-dependent oscillating external field
Mustafa Keskin1, Osman Canko, Umit Temizer
1Department of Physics, Erciyes University, 38039 Kayseri, Turkey.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
Summary
We investigated the kinetic spin-1 Blume-Capel model under an oscillating magnetic field. The system exhibits distinct paramagnetic and non-zero magnetization phases, with transitions influenced by crystal field interactions.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Magnetism
Background:
- The kinetic spin-1 Blume-Capel model is a fundamental model for studying magnetic phase transitions.
- Understanding the behavior of magnetic systems under time-dependent external fields is crucial for materials science and spintronics.
Purpose of the Study:
- To investigate the stationary states of the kinetic spin-1 Blume-Capel model with a time-dependent oscillating external magnetic field.
- To analyze the influence of crystal field interaction (D) on the system's dynamic behavior and phase transitions.
Main Methods:
- Mean-field approach to determine stationary states.
- Glauber-type stochastic dynamics to model time evolution.
- Calculation of Liapunov exponent to assess solution stability.
Main Results:
- Two types of solutions were identified: a symmetric paramagnetic phase with magnetization oscillating around zero, and an antisymmetric phase with magnetization oscillating around a finite value.
- Coexistence of both symmetric and antisymmetric solutions in certain phase space regions.
- Dynamic phase transitions (first- or second-order) were observed, dependent on the phase diagram and crystal field interaction (D).
- The system exhibits one or more dynamic tricritical points, influenced by the values of D.
Conclusions:
- The crystal field interaction (D) critically influences the dynamic behavior and phase transitions of the spin-1 Blume-Capel model.
- The system can display complex dynamics, including coexisting solutions and multiple dynamic tricritical points.
- The study provides insights into the stability and nature of dynamic phase transitions in magnetic systems.
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