PMID: 22587108May 17, 2012Paper

Topological and geometric decomposition of nematic textures

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Simon Čopar, S Zumer

Abstract

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.

References

Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O O PrishchepaV Ya Zyryanov
Feb 23, 2010·Optics Express·M ConradiI Musevic
Jul 2, 2011·Science·Uroš TkalecIgor Muševič
Dec 14, 2011·Proceedings of the National Academy of Sciences of the United States of America·Angel MartinezIvan I Smalyukh

❮ Previous
Next ❯

Citations

May 22, 2013·Proceedings of the National Academy of Sciences of the United States of America·Qingkun LiuIvan I Smalyukh
Feb 22, 2017·Nature Communications·Gregor PosnjakIgor Muševič
Mar 6, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·I Musevic
Jul 30, 2020·Reports on Progress in Physics·Ivan I Smalyukh
May 30, 2014·Materials·Simon ČoparSlobodan Žumer

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ph Martinot-LagardeI Dozov
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Riccardo RossoSamo Kralj
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H R BrandFalko Ziebert
© 2021 Meta ULC. All rights reserved