Nematic textures in spherical shells

The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes en...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2006-08, Vol.74 (2 Pt 1), p.021711-021711, Article 021711
Main Authors: Vitelli, V, Nelson, D R
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213
cites cdi_FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213
container_end_page 021711
container_issue 2 Pt 1
container_start_page 021711
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
container_volume 74
creator Vitelli, V
Nelson, D R
description The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.
doi_str_mv 10.1103/PhysRevE.74.021711
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_68934912</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>68934912</sourcerecordid><originalsourceid>FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213</originalsourceid><addsrcrecordid>eNpFkE1Lw0AYhBdRbK3-AQ-Sg3hL3Xc_k6OU-gFFRXpfNrtvaCRp4m4i9t-b0oqnmcPMMDyEXAOdA1B-_77ZxQ_8Xs61mFMGGuCETEFKmjKu1ene8zzlWsoJuYjxk1LOeCbOyQQ0ZVJINSW3r9jYvnJJjz_9EDAm1TaJ3QZD5WydxA3WdbwkZ6WtI14ddUbWj8v14jldvT29LB5WqeMU-lQrVYrcCe3RYu65KsBjVhReaedzrkAzpSErrcs8SKuUpZqr8Z_OUDLgM3J3mO1C-zVg7E1TRTcesFtsh2hUlnORAxuD7BB0oY0xYGm6UDU27AxQs0dj_tAYLcwBzVi6Oa4PRYP-v3JkwX8Bs1pfuQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>68934912</pqid></control><display><type>article</type><title>Nematic textures in spherical shells</title><source>American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)</source><creator>Vitelli, V ; Nelson, D R</creator><creatorcontrib>Vitelli, V ; Nelson, D R</creatorcontrib><description>The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.</description><identifier>ISSN: 1539-3755</identifier><identifier>EISSN: 1550-2376</identifier><identifier>DOI: 10.1103/PhysRevE.74.021711</identifier><identifier>PMID: 17025456</identifier><language>eng</language><publisher>United States</publisher><ispartof>Physical review. E, Statistical, nonlinear, and soft matter physics, 2006-08, Vol.74 (2 Pt 1), p.021711-021711, Article 021711</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213</citedby><cites>FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17025456$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Vitelli, V</creatorcontrib><creatorcontrib>Nelson, D R</creatorcontrib><title>Nematic textures in spherical shells</title><title>Physical review. E, Statistical, nonlinear, and soft matter physics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.</description><issn>1539-3755</issn><issn>1550-2376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNpFkE1Lw0AYhBdRbK3-AQ-Sg3hL3Xc_k6OU-gFFRXpfNrtvaCRp4m4i9t-b0oqnmcPMMDyEXAOdA1B-_77ZxQ_8Xs61mFMGGuCETEFKmjKu1ene8zzlWsoJuYjxk1LOeCbOyQQ0ZVJINSW3r9jYvnJJjz_9EDAm1TaJ3QZD5WydxA3WdbwkZ6WtI14ddUbWj8v14jldvT29LB5WqeMU-lQrVYrcCe3RYu65KsBjVhReaedzrkAzpSErrcs8SKuUpZqr8Z_OUDLgM3J3mO1C-zVg7E1TRTcesFtsh2hUlnORAxuD7BB0oY0xYGm6UDU27AxQs0dj_tAYLcwBzVi6Oa4PRYP-v3JkwX8Bs1pfuQ</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>Vitelli, V</creator><creator>Nelson, D R</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20060801</creationdate><title>Nematic textures in spherical shells</title><author>Vitelli, V ; Nelson, D R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vitelli, V</creatorcontrib><creatorcontrib>Nelson, D R</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>Vitelli, V</au><au>Nelson, D R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nematic textures in spherical shells</atitle><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2006-08-01</date><risdate>2006</risdate><volume>74</volume><issue>2 Pt 1</issue><spage>021711</spage><epage>021711</epage><pages>021711-021711</pages><artnum>021711</artnum><issn>1539-3755</issn><eissn>1550-2376</eissn><abstract>The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.</abstract><cop>United States</cop><pmid>17025456</pmid><doi>10.1103/PhysRevE.74.021711</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1539-3755
ispartof Physical review. E, Statistical, nonlinear, and soft matter physics, 2006-08, Vol.74 (2 Pt 1), p.021711-021711, Article 021711
issn 1539-3755
1550-2376
language eng
recordid cdi_proquest_miscellaneous_68934912
source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
title Nematic textures in spherical shells
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T09%3A47%3A19IST&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=Nematic%20textures%20in%20spherical%20shells&rft.jtitle=Physical%20review.%20E,%20Statistical,%20nonlinear,%20and%20soft%20matter%20physics&rft.au=Vitelli,%20V&rft.date=2006-08-01&rft.volume=74&rft.issue=2%20Pt%201&rft.spage=021711&rft.epage=021711&rft.pages=021711-021711&rft.artnum=021711&rft.issn=1539-3755&rft.eissn=1550-2376&rft_id=info:doi/10.1103/PhysRevE.74.021711&rft_dat=%3Cproquest_cross%3E68934912%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c301t-766f49c47deae9d36b1de8bbd67cd9361726718fac8d15a66a073637578e5213%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=68934912&rft_id=info:pmid/17025456&rfr_iscdi=true