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Irreversible aggregation of interacting particles in one dimension
Hachem Sidi Ammi1, Anna Chame, M'hammed Touzani
1Département de Physique, Faculté des Sciences, Université Mohammed V, Agdal, Rabat, Morocco.
Summary
Particle aggregation on crystal surfaces was studied using lattice models. Average island size depends on interaction strength and coverage, saturating for attraction and decreasing for repulsion at intermediate coverages.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Surface Science
Background:
- Particle aggregation is crucial for understanding crystal growth and surface phenomena.
- Atoms trapped along linear defects on crystal surfaces exhibit one-dimensional interacting particle behavior.
Purpose of the Study:
- To investigate the aggregation of interacting particles in one dimension.
- To analyze the influence of inter-particle interactions on average island size at varying coverages.
- To develop mean-field models for predicting aggregation behavior.
Main Methods:
- Simulations using two lattice models: one with vectorial force monopoles and another with atomic dipoles.
- Analysis of average island size (S(f)) as a function of coverage and interaction strength.
- Development and validation of mean-field models.
Main Results:
- Average island size (S(f)) is independent of interactions at very low and very high coverages.
- Intermediate coverages show asymmetric behavior: S(f) saturates with attractive interactions and decreases with repulsive interactions.
- Developed mean-field models accurately predict the coverage and interaction dependence of average island size.
Conclusions:
- Inter-particle interactions significantly influence aggregation dynamics in one dimension.
- The developed mean-field models provide a robust framework for understanding and predicting particle aggregation on surfaces.
- Findings are relevant for controlling surface morphology and material properties.