### Abstract

We have experimentally studied the interparticle force between two particles accompanied by hyperbolic hedgehog defects in a nematic liquid crystal. The force F was measured with dual-beam optical tweezers at various temperatures and in cells with various thicknesses. In a thick cell, the dependence of F on the interparticle distance R obtained at different temperatures can be scaled to a universal curve of F∼R^{-4} for R>3a, where a is the radius of a particle. The effective elastic constant evaluated from F is found to be in good agreement with splay constant of the nematic liquid crystal. In a thin cell, the magnitude of F decreases and the dependence of F on R becomes short-ranged as the thickness of a cell, L, decreases. The reduced force curves, F L4 against R/L, at different L are found to be scaled to a single theoretical curve which has been proposed recently.

Original language | English |
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Article number | 020701 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 82 |

Issue number | 2 |

DOIs | |

Publication status | Published - Aug 18 2010 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

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## Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*82*(2), [020701]. https://doi.org/10.1103/PhysRevE.82.020701