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Stochastic dynamics and the dynamic phase transition in thin ferromagnetic films
Hyunbum Jang1, Malcolm J Grimson, Thomas B Woolf
1Department of Physiology, Johns Hopkins University, Baltimore, Maryland 21205, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
Summary
Monte Carlo simulations reveal how dynamic phase transitions in Heisenberg spin films differ between Glauber and Metropolis dynamics. Metropolis dynamics show a more extended transition region due to surface and bulk decoupling.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Computational Physics
Background:
- Investigating dynamic phase transitions (DPT) is crucial for understanding complex magnetic systems.
- Thin film geometries introduce unique surface effects influencing magnetic behavior.
- Classical Heisenberg spin systems with anisotropy exhibit rich phase behaviors.
Purpose of the Study:
- To explore the dynamic phase behavior of a Heisenberg spin system in a thin film.
- To compare the effects of Glauber and Metropolis stochastic dynamics on DPT.
- To analyze the influence of pulsed oscillatory fields and competing surface fields on DPT.
Main Methods:
- Utilized Monte Carlo simulations to model the spin system.
- Employed two distinct stochastic dynamics: Glauber and Metropolis.
- Simulated thin films under pulsed oscillatory external fields with competing surface fields.
Main Results:
- Both Glauber and Metropolis dynamics demonstrated a continuous dynamic phase transition (DPT).
- Field amplitude dependence of DPT was similar for both dynamics.
- Metropolis dynamics exhibited a more extended DPT temperature region compared to Glauber dynamics.
Conclusions:
- The choice of stochastic dynamics significantly impacts the characteristics of DPT in thin films.
- Metropolis dynamics reveal a decoupling of surface and bulk responses near DPT, not observed with Glauber dynamics.
- These findings highlight the importance of selecting appropriate simulation methods for studying dynamic phenomena in magnetic thin films.