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Dipolar cohesion in densely packed confined columns.
Yanyu Duan1, Zecheng Gan1,2, Hervé Mohrbach3
1Thrust of Advanced Materials, and Guangzhou Municipal Key Laboratory of Materials Informatics, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou 511453, China.
We studied magnetic spheres in cylinders. Their cohesion changes nonmonotonically with cylinder size due to competing forces, impacting soft matter experiments.
Area of Science:
- Physics
- Soft Matter Physics
- Materials Science
Background:
- Densely packed magnetic spheres form columnar assemblies.
- External magnetic fields align dipole moments.
- Confinement effects in cylinders are crucial for assembly behavior.
Purpose of the Study:
- Investigate the dipolar cohesion of magnetic spheres in cylinders.
- Analyze the dependence of cohesive energy on cylinder diameter.
- Understand the transition between zigzag and helical structures.
Main Methods:
- Theoretical investigation using exact geometrical solutions.
- Application of dipolar lattice sums.
- Analysis of cohesive energy as a function of cylinder diameter.
Main Results:
- Nonmonotonic cohesion in the zigzag regime due to competing radial and longitudinal pressures.
- Stabilization of dense zigzag structures driven by interchain correlations.
- Bell-shaped cohesive energy evolution and zigzag-helical quasi-degeneracy in the helical regime.
Conclusions:
- Cohesive energy is sensitive to cylinder diameter, influencing assembly morphology.
- Competing pressures dictate stability in confined magnetic assemblies.
- Results are relevant for field-responsive magnetic colloids and granular media.
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