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Hysteresis in the Ising model with Glauber dynamics.
1North Eastern Hill University, Shillong-793 022, India.
Physical Review. E
|July 18, 2018
Summary
This study examines hysteresis in the pure Ising model across various lattices using Glauber dynamics. Findings reveal how time and temperature influence hysteresis, offering insights for random field Ising model research.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Computational Physics
Background:
- Hysteresis is a critical phenomenon in magnetic systems, influenced by factors like temperature and time.
- The Ising model is a fundamental framework for studying phase transitions and magnetism.
- Understanding hysteresis in pure systems provides a baseline for disordered systems.
Purpose of the Study:
- To investigate the time and temperature dependence of hysteresis.
- To analyze hysteresis in the pure Ising model on diverse lattice structures and random graphs.
- To contextualize findings within broader research on the random field Ising model.
Main Methods:
- Utilizing Glauber dynamics for simulations.
- Applying the Ising model to cubic, square, and honeycomb lattices.
- Employing random graphs to represent complex network structures.
Main Results:
- Observed distinct time and temperature dependencies of hysteresis across different lattice types.
- Quantified hysteresis loop behavior under varying dynamic conditions.
- Established a comparison framework between pure and disordered Ising models.
Conclusions:
- Hysteresis in the pure Ising model exhibits significant dependence on temperature and simulation time.
- Lattice structure and graph connectivity influence hysteresis dynamics.
- The study provides essential data for understanding hysteresis in more complex magnetic systems.
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