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Casimir torques between anisotropic boundaries in nematic liquid crystals
R Golestanian1, A Ajdari, J B Fournier
1Laboratoire de Physico-Chimie Théorique, ESA CNRS 7083, ESPCI, 75231 Paris Cedex 05, France.
Summary
Interactions between objects in liquid crystals depend on their orientation. This study calculates long-range Casimir torques, offering new experimental possibilities for studying these forces in nematics.
Area of Science:
- Soft Matter Physics
- Liquid Crystal Physics
- Statistical Mechanics
Background:
- Fluctuation-induced interactions, such as Casimir forces, are crucial in confined systems.
- Anisotropic objects in liquid crystals exhibit complex behaviors due to orientational order.
Purpose of the Study:
- To investigate fluctuation-induced interactions between anisotropic objects in a nematic liquid crystal.
- To determine the dependence of these interactions on object orientation.
- To generalize existing theories of Casimir forces to anisotropic systems.
Main Methods:
- Theoretical calculation of long-range Casimir torques.
- Analysis of interactions in a simplified geometry without elastic effects.
Main Results:
- Interaction forces and torques are dependent on the relative orientation of anisotropic objects.
- Explicit calculation of Casimir torques for a specific geometry.
- Generalization of previous studies on isotropic walls.
Conclusions:
- The orientation of anisotropic objects significantly influences fluctuation-induced interactions in nematics.
- The findings provide a theoretical framework for understanding Casimir forces and torques in anisotropic environments.
- This work proposes new avenues for experimental verification of Casimir effects in liquid crystals.