By H.-R. Trebin (auth.), Oleg D. Lavrentovich, Paolo Pasini, Claudio Zannoni, Slobodan Žumer (eds.)

ISBN-10: 1402001703

ISBN-13: 9781402001703

ISBN-10: 9401005125

ISBN-13: 9789401005128

Topological defects are the topic of extensive experiences in lots of assorted branches of physics starting from cosmology to liquid crystals and from common debris to colloids and organic platforms. Liquid crystals are attention-grabbing fabrics which current a very good number of those mathematical items and will consequently be regarded as an exceptionally invaluable laboratory for topological defects.

This booklet is the 1st try to current jointly complementary ways to the investigations of topological defects in liquid crystals utilizing concept, experiments and laptop simulations.

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**Additional info for Defects in Liquid Crystals: Computer Simulations, Theory and Experiments**

**Sample text**

1 \ \ \ \ \ \ " " " ///11 \ \ \ \ \ \ " " /1/1/1 \ \ \ \ \ \ ' " I I I \ \ \ \ \ \ , /11 I \ \ \ \ \ I 1 / / Figure 6. The symmetry-breaking planar-polar configuration occurs for larger capillaries. It features two s = 1/2 disclinations which undergo the same biaxial escape as the planar radial solution. nar and rotationally symmetric solution as "planar-radial" (PR), and the symmetry-breaking solution as "planar-polar" (PP).

Chapter 1). Therefore, source and sink fields are equivalent. In addition, two point charges ql and q2 can give the respective total charges ql + q2 or Iql - q2! depending on the global boundary conditions. It is obvious that the large nematic drop and each water droplet in Fig. 1 carry a charge q = + 1. One single water droplet fits perfectly into the nematic drop. Every additional water droplet has to be accompanied by a defect structure of charge q = + 1 so that the total charge of the nematic drop remains q = + 1.

The symmetry-breaking planar-polar configuration occurs for larger capillaries. It features two s = 1/2 disclinations which undergo the same biaxial escape as the planar radial solution. nar and rotationally symmetric solution as "planar-radial" (PR), and the symmetry-breaking solution as "planar-polar" (PP). The ER solution is uniaxial everywhere, and therefore the tensorial algorithm yields nothing new. Thus, we will focus on the other solutions, which contain biaxial regions. In figure 5 the PR solution is shown.

### Defects in Liquid Crystals: Computer Simulations, Theory and Experiments by H.-R. Trebin (auth.), Oleg D. Lavrentovich, Paolo Pasini, Claudio Zannoni, Slobodan Žumer (eds.)

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