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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Curvature-driven coarsening in the two-dimensional Potts model
Marcos P O Loureiro1, Jeferson J Arenzon, Leticia F Cugliandolo
1Instituto de Física and INCT Sistemas Complexos, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil.
Summary
This study investigates polymixture geometric properties using the q-states Potts model. Results show initial state memory during coarsening, demonstrating superuniversality.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Polymixtures exhibit complex geometric properties after rapid temperature changes.
- Understanding coarsening dynamics is crucial for materials science.
Purpose of the Study:
- To investigate the geometric properties of polymixtures after a temperature quench.
- To analyze the role of initial conditions and quenched disorder in coarsening.
- To compare simulation results with existing findings for the Ising model.
Main Methods:
- Utilizing the q-states Potts model on a square lattice.
- Employing Monte Carlo simulations with a nonconserved order parameter.
- Analyzing the distribution of hull-enclosed areas.
Main Results:
- Demonstrated memory of initial long-range correlations during coarsening.
- Observed superuniversality properties in the system's evolution.
- Results align with findings for the q=2 (Ising) case.
Conclusions:
- The q-states Potts model effectively mimics polymixture behavior.
- Initial state memory significantly influences coarsening dynamics.
- Superuniversality is a key feature of these quenched systems.
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