Nematic ordering and defects on the surface of a sphere: a Monte Carlo simulation study |
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Authors: | Bates Martin A |
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Institution: | Department of Chemistry, University of York, York, UK. mb530@york.ac.uk |
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Abstract: | We examine the ordering of hard rods on the surface of a sphere using computer simulations. As predicted by previous theories of thin nematic shells we observe four s = + 1/2 defects. However, the predicted tetrahedral symmetry for the defects and the "baseball" director configuration is not observed. Instead the four defects are located, on average, on a great circle which splits the sphere into two hemispheres, each of which has a splay dominated director configuration. We argue that this result occurs as the bend elastic constant for hard rods is much larger than the splay elastic constant. |
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