Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear
We study theoretically the slow director precession and nonlinear waves observed in homeotropically oriented nematic liquid crystals subjected to circular or elliptical Couette and Poiseuille flow and an electric field. From a linear analysis of the nematodynamic equations it is found that in the pr...
Gespeichert in:
Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-09, Vol.72 (3 Pt 1), p.031705-031705, Article 031705 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 031705 |
---|---|
container_issue | 3 Pt 1 |
container_start_page | 031705 |
container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
container_volume | 72 |
creator | Krekhov, A P Kramer, L |
description | We study theoretically the slow director precession and nonlinear waves observed in homeotropically oriented nematic liquid crystals subjected to circular or elliptical Couette and Poiseuille flow and an electric field. From a linear analysis of the nematodynamic equations it is found that in the presence of the flow the electric bend Fréedericksz transition is transformed into a Hopf-type bifurcation. In the framework of an approximate weakly nonlinear analysis we have calculated the coefficients of the modified complex Ginzburg-Landau equation, which slightly above onset describes nonlinear waves with strong nonlinear dispersion. We also derive the equation describing the precession and waves well above the Fréedericksz transition and for small flow amplitudes. Then the nonlinear waves are of diffusive nature. The results are compared with full numerical simulations and with experimental data. |
doi_str_mv | 10.1103/PhysRevE.72.031705 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_68722336</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>68722336</sourcerecordid><originalsourceid>FETCH-LOGICAL-c301t-b6ba2f3a43e9f673ea131211821f390aa6f24fd3c5a2c60ba6084755e6ea7fce3</originalsourceid><addsrcrecordid>eNpFkF1LwzAUhoMoTqd_wAvJlXedSU6bdpcy5gcMFJnXJU1PWKRNtqSd9N_bsYlX58D7wTkPIXeczThn8PixGeIn7pezXMwY8JxlZ-SKZxlLBOTy_LDDPIE8yybkOsZvxkBAkV6SCZci5WlWXBG93qAPA_WG1jag7nyg23FijNY7qlxNnXeNdagC_VF7jNQ66rBVndW0sbve1lSHIXaqibR3NQaKTWO3o6waGjdj7oZcmFHF29Ockq_n5XrxmqzeX94WT6tEA-NdUslKCQMqBZwbmQMqDlxwXghuYM6UkkakpgadKaElq5RkRTo-hxJVbjTClDwce7fB73qMXdnaqMdrlEPfx1IWuRAAcjSKo1EHH2NAU26DbVUYSs7KA9ryD22Zi_KIdgzdn9r7qsX6P3JiCb8RhHiG</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>68722336</pqid></control><display><type>article</type><title>Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear</title><source>American Physical Society Journals</source><creator>Krekhov, A P ; Kramer, L</creator><creatorcontrib>Krekhov, A P ; Kramer, L</creatorcontrib><description>We study theoretically the slow director precession and nonlinear waves observed in homeotropically oriented nematic liquid crystals subjected to circular or elliptical Couette and Poiseuille flow and an electric field. From a linear analysis of the nematodynamic equations it is found that in the presence of the flow the electric bend Fréedericksz transition is transformed into a Hopf-type bifurcation. In the framework of an approximate weakly nonlinear analysis we have calculated the coefficients of the modified complex Ginzburg-Landau equation, which slightly above onset describes nonlinear waves with strong nonlinear dispersion. We also derive the equation describing the precession and waves well above the Fréedericksz transition and for small flow amplitudes. Then the nonlinear waves are of diffusive nature. The results are compared with full numerical simulations and with experimental data.</description><identifier>ISSN: 1539-3755</identifier><identifier>EISSN: 1550-2376</identifier><identifier>DOI: 10.1103/PhysRevE.72.031705</identifier><identifier>PMID: 16241458</identifier><language>eng</language><publisher>United States</publisher><ispartof>Physical review. E, Statistical, nonlinear, and soft matter physics, 2005-09, Vol.72 (3 Pt 1), p.031705-031705, Article 031705</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c301t-b6ba2f3a43e9f673ea131211821f390aa6f24fd3c5a2c60ba6084755e6ea7fce3</citedby><cites>FETCH-LOGICAL-c301t-b6ba2f3a43e9f673ea131211821f390aa6f24fd3c5a2c60ba6084755e6ea7fce3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,2876,2877,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/16241458$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Krekhov, A P</creatorcontrib><creatorcontrib>Kramer, L</creatorcontrib><title>Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear</title><title>Physical review. E, Statistical, nonlinear, and soft matter physics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>We study theoretically the slow director precession and nonlinear waves observed in homeotropically oriented nematic liquid crystals subjected to circular or elliptical Couette and Poiseuille flow and an electric field. From a linear analysis of the nematodynamic equations it is found that in the presence of the flow the electric bend Fréedericksz transition is transformed into a Hopf-type bifurcation. In the framework of an approximate weakly nonlinear analysis we have calculated the coefficients of the modified complex Ginzburg-Landau equation, which slightly above onset describes nonlinear waves with strong nonlinear dispersion. We also derive the equation describing the precession and waves well above the Fréedericksz transition and for small flow amplitudes. Then the nonlinear waves are of diffusive nature. The results are compared with full numerical simulations and with experimental data.</description><issn>1539-3755</issn><issn>1550-2376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNpFkF1LwzAUhoMoTqd_wAvJlXedSU6bdpcy5gcMFJnXJU1PWKRNtqSd9N_bsYlX58D7wTkPIXeczThn8PixGeIn7pezXMwY8JxlZ-SKZxlLBOTy_LDDPIE8yybkOsZvxkBAkV6SCZci5WlWXBG93qAPA_WG1jag7nyg23FijNY7qlxNnXeNdagC_VF7jNQ66rBVndW0sbve1lSHIXaqibR3NQaKTWO3o6waGjdj7oZcmFHF29Ockq_n5XrxmqzeX94WT6tEA-NdUslKCQMqBZwbmQMqDlxwXghuYM6UkkakpgadKaElq5RkRTo-hxJVbjTClDwce7fB73qMXdnaqMdrlEPfx1IWuRAAcjSKo1EHH2NAU26DbVUYSs7KA9ryD22Zi_KIdgzdn9r7qsX6P3JiCb8RhHiG</recordid><startdate>200509</startdate><enddate>200509</enddate><creator>Krekhov, A P</creator><creator>Kramer, L</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>200509</creationdate><title>Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear</title><author>Krekhov, A P ; Kramer, L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c301t-b6ba2f3a43e9f673ea131211821f390aa6f24fd3c5a2c60ba6084755e6ea7fce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Krekhov, A P</creatorcontrib><creatorcontrib>Kramer, L</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krekhov, A P</au><au>Kramer, L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear</atitle><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2005-09</date><risdate>2005</risdate><volume>72</volume><issue>3 Pt 1</issue><spage>031705</spage><epage>031705</epage><pages>031705-031705</pages><artnum>031705</artnum><issn>1539-3755</issn><eissn>1550-2376</eissn><abstract>We study theoretically the slow director precession and nonlinear waves observed in homeotropically oriented nematic liquid crystals subjected to circular or elliptical Couette and Poiseuille flow and an electric field. From a linear analysis of the nematodynamic equations it is found that in the presence of the flow the electric bend Fréedericksz transition is transformed into a Hopf-type bifurcation. In the framework of an approximate weakly nonlinear analysis we have calculated the coefficients of the modified complex Ginzburg-Landau equation, which slightly above onset describes nonlinear waves with strong nonlinear dispersion. We also derive the equation describing the precession and waves well above the Fréedericksz transition and for small flow amplitudes. Then the nonlinear waves are of diffusive nature. The results are compared with full numerical simulations and with experimental data.</abstract><cop>United States</cop><pmid>16241458</pmid><doi>10.1103/PhysRevE.72.031705</doi><tpages>1</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1539-3755 |
ispartof | Physical review. E, Statistical, nonlinear, and soft matter physics, 2005-09, Vol.72 (3 Pt 1), p.031705-031705, Article 031705 |
issn | 1539-3755 1550-2376 |
language | eng |
recordid | cdi_proquest_miscellaneous_68722336 |
source | American Physical Society Journals |
title | Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T15%3A12%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Theory%20of%20director%20precession%20and%20nonlinear%20waves%20in%20nematic%20liquid%20crystals%20under%20elliptical%20shear&rft.jtitle=Physical%20review.%20E,%20Statistical,%20nonlinear,%20and%20soft%20matter%20physics&rft.au=Krekhov,%20A%20P&rft.date=2005-09&rft.volume=72&rft.issue=3%20Pt%201&rft.spage=031705&rft.epage=031705&rft.pages=031705-031705&rft.artnum=031705&rft.issn=1539-3755&rft.eissn=1550-2376&rft_id=info:doi/10.1103/PhysRevE.72.031705&rft_dat=%3Cproquest_cross%3E68722336%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=68722336&rft_id=info:pmid/16241458&rfr_iscdi=true |