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Phase transitions on non-uniformly curved surfaces: coupling between phase and location
Jack O Law1, Jacob M Dean, Mark A Miller
1Department of Physics, Durham University, South Road, Durham DH1 3LE, UK. halim.kusumaatmaja@durham.ac.uk.
Soft Matter
|August 14, 2020
Summary
Surface curvature significantly impacts two-dimensional particle systems. Non-uniform curvature leads to unique stable states and cooperative migrations, driven by cluster perimeter, stress, and neighbor packing.
Area of Science:
- Colloid science
- Surface physics
- Statistical mechanics
Background:
- Surface curvature influences system properties.
- Non-uniform curvature introduces complex behaviors.
Purpose of the Study:
- Investigate stable states and transitions of attractive colloids on non-uniformly curved surfaces.
- Analyze the impact of surface geometry on colloidal assembly.
Main Methods:
- Bespoke Monte Carlo simulations
- Molecular dynamics simulations
- Basin-hopping methods
- Morse potential for interactions
Main Results:
- Stable states depend on both phase and location on curved surfaces.
- Transitions involve cooperative migration of colloidal assemblies.
- Phenomena observed on toroidal and sinusoidal surfaces.
Conclusions:
- Behavior is governed by universal factors: cluster perimeter, stress, and next-nearest neighbor packing.
- Surface geometry is crucial for understanding colloidal systems.
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