Fractality à la carte: a general particle aggregation model

Area of Science:

• Complex Systems
• Materials Science
• Statistical Physics

Background:

• Fractal structures are prevalent in nature, arising from local optimization of entropic and energetic distributions.
• The inherent fractality significantly influences the physical, chemical, and biological properties of systems.
• Understanding the origins and control of fractality is crucial across diverse scientific and technological fields.

Purpose of the Study:

• To develop a versatile model for particle aggregation that elucidates the specific entropic and energetic contributions to fractal properties.
• To generate diverse, natural-looking fractal aggregates with controllable fractal dimensions.
• To bridge the gap between simple aggregation models and the complex dynamics governing natural fractal formation.

Main Methods:

• Proposal of a simple and versatile particle aggregation model.
• Analysis of entropic and energetic contributions to cluster formation and morphology.
• Generation of aggregates with tunable fractal dimensions.

Main Results:

• The model successfully isolates and quantifies the entropic and energetic contributions to fractality.
• The model generates a wide range of natural-looking fractal aggregates.
• The generated aggregates exhibit controllable fractal dimensions.

Conclusions:

• The proposed model offers a powerful tool for studying the fundamental mechanisms of fractal formation.
• It provides insights into how entropic and energetic factors shape complex structures.
• The model's versatility allows for the creation of tailored fractal materials and simulations.