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Published on: May 20, 2018
Elastic interaction between colloidal particles in confined nematic liquid crystals.
1Institute of Physics, NAS Ukraine, Prospekt Nauki 46, Kyiv 03650, Ukraine.
Summary
We developed a theory for colloidal particle interactions in confined liquid crystals. Particle interactions are screened by surfaces, altering attraction and repulsion zones.
Area of Science:
- Soft Matter Physics
- Colloidal Science
- Liquid Crystal Physics
Background:
- Colloidal particles in liquid crystals exhibit unique interactions.
- Confined geometries significantly influence these interactions.
- Understanding elastic interactions is crucial for materials science.
Purpose of the Study:
- To propose a theory for the elastic interaction of colloidal particles in confined nematic liquid crystals.
- To derive general formulas for particle self-energy and inter-particle interaction energy.
- To analyze specific cases of dipole-dipole and quadrupolar interactions.
Main Methods:
- Theoretical modeling of elastic interactions.
- Derivation of general formulas for self-energy and interaction energy.
- Analysis of specific confinement geometries (homeotropic and planar cells).
Main Results:
- General formulas for self-energy and interaction energy derived for confined nematics with strong anchoring.
- Dipole-dipole interactions exponentially screened with decay length L/pi.
- Planar cell surfaces critically modify usual dipole-dipole attraction/repulsion zones.
- Quadrupolar interaction decay length is half that of dipolar interaction in homeotropic cells.
Conclusions:
- Confined nematic liquid crystals significantly alter colloidal particle interactions.
- Surface effects are crucial in determining interaction ranges and zones.
- The findings provide insights into the behavior of soft matter systems.
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