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The elastic interactions between objects embedded in a nematic liquid crystalare usually caused by the average distorsion-rather than by the fluctuations-ofthe nematic orientational field. We argue that for sufficiently smallparticles, the nematic-mediated interaction originates purely from thefluctuations of the nematic director. This Casimir interaction decays asd^(-6), d being the distance between the particles, and it dominates van derWaals interactions close to the isotropic-to-nematic transition. Consideringthe nematic as a polymer solvent, we show that the onset of this Casimirinteraction at the isotropic-to-nematic transition can discontinuously inducethe collapse of a flexible polymer chain from the swollen state to the globularstate, without crossing the Theta-point.Comment: 6 pages, 1 figur

Long-range Casimir interactions between impurities in nematic liquid crystals and the collapse of polymer chains in such solvents