+ Site Statistics
References:
54,258,434
Abstracts:
29,560,870
PMIDs:
28,072,757
+ Search Articles
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ PDF Full Text
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Translate
+ Recently Requested

Topological and geometric decomposition of nematic textures



Topological and geometric decomposition of nematic textures



Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 85(3 Pt 1): 031701



Directional media, such as nematic liquid crystals and ferromagnets, are characterized by their topologically stabilized defects in directional order. In nematics, boundary conditions and surface-treated inclusions often create complex structures, which are difficult to classify. Topological charge of point defects in nematics has ambiguously defined sign, and its additivity cannot be ensured when defects are observed separately. We demonstrate how the topological charge of complex defect structures can be determined by identifying and counting parts of the texture that satisfy simple geometric rules. We introduce a parameter called the defect rank and show that it corresponds to what is intuitively perceived as a point charge based on the properties of the director field. Finally, we discuss the role of free-energy constraints in the validity of the classification with the defect rank.

(PDF emailed within 0-6 h: $19.90)

Accession: 056607098

Download citation: RISBibTeXText

PMID: 22587108

DOI: 10.1103/PhysRevE.85.031701


Related references

Nematic textures in spherical shells. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 74(2 Pt 1): 021711, 2006

Memory and Development of Textures of Polydomain Nematic Elastomers. Macromolecular Chemistry and Physics 213(18), 2012

Quench-induced nematic textures of wormlike micelles. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 53(1): 689-695, 1996

Simulating defect textures on relaxing nematic shells. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 89(5): 052504, 2015

Nematic textures in colloidal dispersions of Na-fluorohectorite synthetic clay. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 81(4 Pt 1): 041702, 2010

Twisted quasiperiodic textures of biaxial nematic liquid crystals. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 88(4): 042504, 2013

Kinetics of phase ordering with topological textures. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 51(6): R5189-R5192, 1995

Topological textures in a ferromagnet-superconductor bilayer. Physical Review Letters 88(1): 017001, 2002

Linked topological colloids in a nematic host. Proceedings of the National Academy of Sciences of the United States of America 112(15): 4546-4551, 2015

Topological changes in bipolar nematic droplets under flow. Physical Review Letters 98(8): 087801, 2007

Uniform and nonuniform textures of a nematic liquid crystal in contact with an inhomogeneous substrate. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 64(3 Pt 1): 031709, 2001

Textures in polygonal arrangements of square nanoparticles in nematic liquid crystal matrices. Langmuir 27(21): 13335-13341, 2012

Cracks and topological defects in lyotropic nematic gels. Physical Review Letters 95(14): 148301, 2005

Topological defects in nematic droplets of hard spherocylinders. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 62(4 Pt A): 5081-5091, 2000

Hydrodynamics of topological defects in nematic liquid crystals. Physical Review Letters 88(10): 105504, 2002