Coarsening with nontrivial in-domain dynamics: Correlations and interface fluctuations

Area of Science:

• Complex systems dynamics
• Non-equilibrium statistical physics
• Pattern formation

Background:

• Growing domains with internal dynamics are observed in various systems.
• Traditional models often assume simple domain structures.
• The interplay between domain coarsening and internal activity is not fully understood.

Purpose of the Study:

• To investigate the space-time properties of a system with spirals emerging within coarsening domains.
• To understand how internal dynamics affect the coarsening process and interface properties.
• To compare the observed exponents with those from curvature-driven coarsening models.

Main Methods:

• Numerical simulations of a six-species model.
• Analysis of space-time correlations.
• Calculation of characteristic length, autocorrelation, density of empty sites, and interface width.

Main Results:

• Nontrivial internal dynamics within domains were observed.
• These dynamics were shown to influence domain coarsening and interface characteristics.
• Exponents governing domain growth, aging, and interface fluctuations differed from standard models.

Conclusions:

• Internal dynamics significantly alter coarsening processes in complex systems.
• The findings suggest a deviation from simple curvature-driven coarsening mechanisms.
• This research provides insights into pattern formation and emergent behavior in ecological and physical systems.