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Dynamic phase transition in the kinetic spin- Blume-Capel model under a time-dependent oscillating external field
Mustafa Keskin1, Osman Canko, Bayram Deviren
1Department of Physics, Erciyes University, 38039 Kayseri, Turkey.
Summary
This study explores the kinetic spin-3/2 Blume-Capel model under an oscillating magnetic field, revealing seven distinct phases and complex dynamic behaviors influenced by crystal-field interactions.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Magnetism
Background:
- The kinetic spin-3/2 Blume-Capel model is a theoretical framework used to study magnetic systems.
- Understanding the behavior of such systems under external fields is crucial for developing new magnetic materials.
Purpose of the Study:
- To investigate the stationary states of the kinetic spin-3/2 Blume-Capel model with a time-dependent oscillating external magnetic field.
- To analyze the influence of crystal-field interaction on the system's dynamics and phase behavior.
Main Methods:
- A mean-field approach was employed to analyze the system's stationary states.
- Glauber-type stochastic dynamics were used to model the time evolution of the system.
- Liapunov exponent calculations were performed to assess the stability of solutions.
Main Results:
- The system exhibits seven distinct phases, including paramagnetic (P), ferromagnetic-3/2 (F3/2), and ferromagnetic-1/2 (F1/2) phases, with complex coexistence regions.
- Dynamic phase transition points were identified, leading to six fundamental phase diagrams.
- The crystal-field interaction was found to strongly influence the system's behavior, leading to symmetric and antisymmetric solutions.
Conclusions:
- The kinetic spin-3/2 Blume-Capel model displays rich phase behavior under oscillating magnetic fields.
- The study identifies dynamic tricritical points and confirms solution stability using Liapunov exponents.
- The findings contribute to the understanding of complex magnetic systems and phase transitions.
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