Spatiotemporal complexity of electroconvection patterns in nematic liquid crystals

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A P KrekhovEduard Batyrshin

Abstract

We investigate a number of complex patterns driven by the electroconvection instability in a planarly aligned layer of a nematic liquid crystal. They are traced back to various secondary instabilities of the ideal roll patterns bifurcating at onset of convection, whereby the basic nematohydrodynamic equations are solved by common Galerkin expansion methods. Alternatively these equations are systematically approximated by a set of coupled amplitude equations. They describe slow modulations of the convection roll amplitudes, which are coupled to a flow field component with finite vorticity perpendicular to the layer and to a quasihomogeneous in-plane rotation of the director. It is demonstrated that the Galerkin stability diagram of the convection rolls is well reproduced by the corresponding one based on the amplitude equations. The main purpose of the paper is, however, to demonstrate that their direct numerical simulations match surprisingly well new experiments, which serves as a convincing test of our theoretical approach.

References

Oct 15, 1992·Physical Review. a·S NasunoW Zimmermann
Dec 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Kaiser, W Pesch
Apr 14, 1986·Physical Review Letters·R RibottaL Lei
May 21, 1990·Physical Review Letters·L KramerW Pesch
Jan 22, 2002·Physical Review Letters·B DresselR Ribotta
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S KomineasL Kramer
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas John, Ralf Stannarius
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Noriko OikawaShoichi Kai
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dirk PietschmannRalf Stannarius
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei KrekhovAgnes Buka
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nándor ÉberÁgnes Buka
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Werner Pesch, Alexei Krekhov

❮ Previous
Next ❯

Citations

Nov 15, 2016·Physical Review. E·Takayuki NarumiYoshiki Hidaka
Jul 22, 2020·Physical Review. E·Jong-Hoon Huh, Haruki Osoguchi

❮ 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
S KomineasL Kramer
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
J T Gleeson
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S L PollicottS M Cox
© 2022 Meta ULC. All rights reserved