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Nonequilibrium critical dynamics of the triangular antiferromagnetic Ising model
Eunhye Kim1, Bongsoo Kim, Sung Jong Lee
1Department of Physics, Changwon National University, Changwon 641-773, Korea.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
Summary
Investigating the antiferromagnetic Ising model on a triangular lattice reveals geometric frustration
Area of Science:
- Condensed matter physics
- Statistical mechanics
- Computational physics
Background:
- Geometric frustration in antiferromagnetic Ising models leads to macroscopic ground state degeneracy.
- This degeneracy significantly influences the system's nonequilibrium dynamics.
- Defects and zero-energy spin flips are crucial dynamic elements.
Purpose of the Study:
- To investigate the nonequilibrium critical dynamics of the antiferromagnetic Ising model on a 2D triangular lattice.
- To understand the role of ground state degeneracy and frustration in dynamic processes.
- To analyze the critical dynamic scaling and initial-state dependence.
Main Methods:
- Dynamic Monte Carlo simulation using spin-flip kinetics.
- Analysis of critical dynamic scaling with a growing length scale, xi(t).
- Comparison of dynamics starting from random initial configurations versus relaxation within the ground-state manifold.
Main Results:
- Subdiffusive growth of xi(t) ~ t(1/z) with 1/z ≈ 0.43 for random initial states.
- Diffusive growth of xi(t) with z=2 for relaxation within the dominant ground-state sector.
- Demonstration of initial-state dependence in nonequilibrium critical dynamics.
Conclusions:
- The macroscopic ground state degeneracy due to geometric frustration fundamentally impacts dynamics.
- Nonequilibrium dynamics exhibit distinct scaling behaviors based on initial conditions.
- Further analysis includes persistence and two-time temporal properties.
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