Clusters, columns, and lamellae-minimum energy configurations in core softened potentials.

Area of Science:

• Physics
• Materials Science
• Computational Chemistry

Background:

• Understanding particle self-organization is crucial for designing novel materials.
• The square-shoulder potential models interactions in various physical systems.
• Predicting equilibrium structures of interacting particles remains a challenge.

Purpose of the Study:

• To investigate the self-organization of particles interacting via a square-shoulder potential.
• To identify the range of ordered equilibrium structures formed by these particles.
• To explore the influence of pressure on structural transitions.

Main Methods:

• Utilizing genetic algorithms to efficiently search for ordered equilibrium structures.
• Employing a simple mean-field approach for theoretical analysis.
• Simulating particle interactions under varying pressure conditions.

Main Results:

• Particles self-organize into complex, low-symmetry lattices such as clusters, columns, and lamellae.
• High-symmetry, compact structures are observed exclusively at high pressures.
• A semi-quantitative understanding of structural transitions was achieved.

Conclusions:

• The square-shoulder potential can lead to diverse low-symmetry self-organized structures.
• Pressure is a key parameter controlling the symmetry and compactness of particle assemblies.
• Genetic algorithms provide a successful strategy for discovering complex equilibrium structures.