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Critical domain-wall dynamics of model B
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, People's Republic of China.
Summary
We simulated critical domain-wall dynamics in the 2D Ising model using Monte Carlo methods. Our findings reveal a dynamic scaling form and magnetization dependence on lattice size, governed by an exponent sigma=0.243(8).
Area of Science:
- Statistical Physics
- Computational Physics
Background:
- Domain-wall dynamics are crucial in understanding phase transitions.
- The Ising model is a fundamental model for ferromagnetism and critical phenomena.
Purpose of the Study:
- To simulate and analyze critical domain-wall dynamics in the 2D Ising model.
- To investigate dynamic scaling and lattice-size dependence of magnetization.
Main Methods:
- Monte Carlo simulations were employed.
- The study focused on model B dynamics within the 2D Ising model.
Main Results:
- A dynamic scaling form was identified in the macroscopic short-time regime.
- Magnetization exhibits intrinsic dependence on lattice size (L) due to quasirandom walkers.
- The exponent governing L dependence was measured as sigma=0.243(8).
Conclusions:
- The simulation provides insights into critical dynamics and scaling laws.
- Lattice size has a measurable impact on magnetization in this dynamic regime.
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