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Updated: Jul 16, 2026

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Orientational multiplicity and transitions in liquid crystalline droplets
Rajesh K Goyal1, Morton M Denn
1Benjamin Levich Institute for Physico-Chemical Hydrodynamics and Department of Chemical Engineering, City College of New York, CUNY, New York, New York 10031, USA.
Liquid crystal droplet orientation states are computed using simulated annealing. Elongated shapes favor surface-induced transitions, revealing energy barriers between stable configurations.
Area of Science:
- Physics
- Materials Science
- Chemistry
Background:
- Liquid crystals exhibit complex orientational behavior influenced by surface interactions.
- Understanding these orientations is crucial for applications in displays and sensors.
- Homeotropic anchoring in liquid crystal droplets presents unique challenges in predicting stable states.
Purpose of the Study:
- To compute orientation distributions in homeotropically anchored liquid crystal droplets.
- To investigate the role of surface-to-elastic forces on droplet orientational states.
- To determine the energy barriers separating different steady-state orientations.
Main Methods:
- Utilized a simulated annealing algorithm to minimize free energy.
- Employed the Oseen-Frank continuum theory for theoretical framework.
- Analyzed droplets with varying spherical and spheroidal shapes.
Main Results:
- Identified multiple orientational steady states in liquid crystal droplets.
- Quantified finite energy barriers separating these states across all force ratios.
- Observed maximum transition energy densities around 2000 J/m3 for spherical droplets.
- Found that transition energy densities decrease with droplet elongation (aspect ratio ≥ 4).
Conclusions:
- Droplet elongation is a favorable mechanism for inducing surface-driven orientational transitions.
- Finite energy barriers suggest bistability or multistability in droplet orientations.
- The findings provide insights into controlling liquid crystal droplet behavior for technological applications.
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