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Ordering dynamics of the driven lattice-gas model
1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel.
Summary
This study reveals a two-stage evolution in a driven lattice-gas model. Initially, stripes form, followed by coarsening, indicating a stable multistriped state in thermodynamic equilibrium.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Computational physics
Background:
- Driven lattice-gas models are crucial for understanding non-equilibrium systems.
- Previous studies explored limited aspects of these models.
Purpose of the Study:
- To investigate the evolutionary dynamics of a 2D driven lattice-gas model.
- To identify distinct evolutionary stages and their governing parameters.
Main Methods:
- Utilized scaling arguments for theoretical analysis.
- Performed extensive numerical simulations on L(x)xL(y) lattices.
Main Results:
- Observed a two-stage evolution: stripe formation and stripe coarsening.
- Identified stripe number dependence on the lattice anisotropy L(x)/L(y).
- Found coarsening time proportional to L(y), suggesting thermodynamic stability of multistriped states.
Conclusions:
- The model exhibits distinct evolutionary phases.
- Lattice anisotropy dictates the final striped configuration.
- Multistriped states are thermodynamically stable in the thermodynamic limit.