Defects in Liquid Crystals: Computer Simulations, Theory and by H.-R. Trebin (auth.), Oleg D. Lavrentovich, Paolo Pasini,

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

Topological defects are the topic of in depth experiences in lots of diversified branches of physics starting from cosmology to liquid crystals and from simple debris to colloids and organic structures. Liquid crystals are attention-grabbing fabrics which current a superb number of those mathematical gadgets and will consequently be regarded as a really important laboratory for topological defects.
This ebook is the 1st try and current jointly complementary ways to the investigations of topological defects in liquid crystals utilizing idea, experiments and machine simulations.

Show description

Read Online or Download Defects in Liquid Crystals: Computer Simulations, Theory and Experiments PDF

Similar theory books

Voodoo Histories: The Role of the Conspiracy Theory in Shaping Modern History

A historical past so humorous, so actual, so frightening, it's absolute to be known as a conspiracy.

"Meticulous in its learn, forensic in its reasoning, powerful in its argument, and infrequently hilarious in its debunking, Voodoo Histories is a hugely wonderful rumble with the century's significant conspiracy theorists and their theories" (John Lahr). From Pearl Harbor to 9-11 to the assassination of JFK to the Birthers, Aaronvitch probes and explores the foremost conspiracy theories (and theorists) of our time. In doing so, he examines why humans think those conspiracies and makes a controversy for a real skepticism.

Theory and Applications of Relational Structures as Knowledge Instruments: COST Action 274, TARSKI. Revised Papers

Relational constructions abound in our day-by-day atmosphere: relational databases, information mining, scaling systems, choice kin, and so on. because the documentation of clinical effects accomplished in the eu rate motion 274, TARSKI, this publication advances the knowledge of relational constructions and using relational tools in quite a few program fields.

Theory and Practice of Risk Assessment: ICRA 5, Tomar, Portugal, 2013

This booklet covers the most recent ends up in the sphere of chance research. provided themes comprise probabilistic versions in melanoma study, types and techniques in toughness, epidemiology of melanoma possibility, engineering reliability and reasonably-priced possibility difficulties. The contributions of this quantity originate from the fifth overseas convention on possibility research (ICRA 5).

Extra resources for Defects in Liquid Crystals: Computer Simulations, Theory and Experiments

Sample text

5 -2 d/~o 5 0 10 20 15 Figure 7. Phase diagram showing the type of solution for a given reduced temperature and reduced capillary size. The depicted solutions are planar-radial, planar-polar, and isotropic. (a) (b) Figure 8. (a) Symmetry breaking alignment tensor solution for a homeotropic droplet. A small disclination loop close to the center has replaced the isotropic core. (b) Sketch of the corresponding director field. only occur very close to the nematic-isotropic transition temperature, or for very small droplets.

The alignment tensor is visualized by a rectangular box which is built from the eigensystem of the tensor. The eigenvalues augmented by ")2/3 IIall to ensure positivity are used as the edge lengths of the box. In this way it is easy to distinguish between uniaxial (two edges have the same length) and biaxial (all three edges are of different length) alignment. , an isotropic tensor would be represented by a very small box. As an example, figure 4 shows the cross section through an s = 1/2 disclination line.

Doi, M. (1981) J. Polym. Sci. Polym. , 19, 229. , Ehrentraut, H. and Muschik, W. (1992) Int. J. Engng. , 30, 1127. Papenfuss, C. and Muschik, W. (1992) Mol. , 2, 1. , (1975) Z. , 30a, 728. , (1976) Z. , 31a, 1507. D. and Goldbart, P. (1992) Phys. Rev. A, 46, 4966. Pereira Borgmeyer, C. and Hess, S. (1995) J. Non-Equilib. , 20, 359. G. and Prost, J. (1993) The Physics of Liquid Crystals. 2nd ed. Clarendon Press, Oxford. 14. , de Vries, L. G. (1991) Macromolecules, 24, 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Download PDF sample

Rated 4.80 of 5 – based on 17 votes