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Dynamic phase transitions in the kinetic Ising model on the Bethe lattice
Seyma Akkaya Deviren1, Erhan Albayrak
1Department of Physics, Erciyes University, Kayseri, Turkey.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
The kinetic Ising model with oscillating magnetic fields exhibits distinct magnetization behaviors at low and high temperatures. Researchers mapped dynamic phase diagrams, revealing phase transitions and tricritical points.
Area of Science:
- Statistical physics
- Complex systems
- Condensed matter theory
Background:
- The kinetic Ising model is a fundamental model for understanding magnetism and phase transitions.
- Glauber dynamics describes the stochastic process of spin flips in magnetic systems.
- Time-dependent external fields introduce complex dynamics not present in static models.
Purpose of the Study:
- To analyze the stationary states of the kinetic Ising model under oscillating external magnetic fields.
- To investigate the influence of temperature and field oscillations on magnetic ordering.
- To determine dynamic phase transitions and critical points.
Main Methods:
- Analysis using recursion relations on the Bethe lattice.
- Calculation of dynamic order parameter, hysteresis loop area, and dynamic correlation.
- Mapping of dynamic phase diagrams for specific coordination numbers (q=4 and 6).
Main Results:
- Magnetization oscillates around non-zero values in the ferromagnetic phase at low temperatures.
- Magnetization oscillates around zero in the paramagnetic phase at high temperatures.
- Dynamic phase diagrams reveal second- and first-order phase transitions, alongside dynamical tricritical points.
Conclusions:
- The kinetic Ising model exhibits rich dynamical behavior under oscillating fields.
- Temperature and field oscillations significantly influence magnetic phase transitions.
- The study identifies novel dynamical tricritical points in this system.
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