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Zero-temperature dynamics in the two-dimensional axial next-nearest-neighbor Ising model
Soham Biswas1, Anjan Kumar Chandra, Parongama Sen
1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
Summary
We studied the dynamics of a two-dimensional Ising model after a rapid temperature drop. The system
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The Ising model is a fundamental tool for studying magnetism and phase transitions.
- Understanding non-equilibrium dynamics is crucial for complex systems.
Purpose of the Study:
- Investigate the low-temperature dynamics of a 2D axial next-nearest-neighbor Ising model.
- Analyze the influence of the kappa parameter on system evolution and state.
- Characterize the different dynamical classes and their exponents.
Main Methods:
- Simulating the quench dynamics of the 2D axial next-nearest-neighbor Ising model.
- Analyzing persistence probability and dynamical exponent.
- Studying domain wall dynamics and distribution.
Main Results:
- For kappa<1, the system gets trapped in metastable states.
- For kappa>1, the system freezes into striped states with algebraic decay (theta=0.235) and dynamical exponent z=2.08.
- At kappa=1, the system uniquely evolves to the true ground state, exhibiting distinct dynamical behavior.
Conclusions:
- The parameter kappa dictates the system's low-temperature dynamical behavior.
- Domain wall dynamics are key to understanding the observed phenomena.
- The model exhibits distinct dynamical classes based on kappa, with unique critical exponents at kappa=1.
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