English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Nonlinear analysis of flexodomains in nematic liquid crystals

Pesch, W., Krekhov, A., Eber, N., & Buk, A. (2018). Nonlinear analysis of flexodomains in nematic liquid crystals. Physical Review E, 98(3): 032702. doi:10.1103/PhysRevE.98.032702.

Item is

Basic

show hide
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Pesch, W., Author
Krekhov, Alexei1, Author              
Eber, N., Author
Buk, A., Author
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

Content

show
hide
Free keywords: -
 Abstract: We investigate flexodomains, which are observed in planar layers of certain nematic liquid crystals, when a dc voltage U above a critical value U-c is applied across the layer. They are characterized by stationary stripelike spatial variations of the director in the layer plane with a wave number p(U). Our experiments for different nematics demonstrate that p(U) varies almost linearly with U for U > U-c. That is confirmed by a numerical analysis of the full nonlinear equations for the director field and the induced electric potential. Beyond this numerical study, we demonstrate that the linearity of p(U) follows even analytically, when considering a special parameter set first used by Terent' ev and Pikin [Soy. Phys. JETP 56, 587 (1982)]. Their theoretical paper serves until now as the standard reference on the nonlinear analysis of flexodomains, since it has arrived at a linear variation of p(U) for large U >> U-c. Unfortunately, the corresponding analysis suffers from mistakes, which in a combination led to that result.

Details

show
hide
Language(s): eng - English
 Dates: 2018-09-052018-09
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.98.032702
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review E
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: 12 Volume / Issue: 98 (3) Sequence Number: 032702 Start / End Page: - Identifier: -