Structure of two-dimensional rods confined by a line boundary
In two dimensions, a nematic liquid crystal displays a two-fold rotational symmetry about the normal to the embedding surface. A confining line boundary that restricts the system within an area can geometrically frustrate the system, creating a defective structure in orientation. On the basis of the...
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| Veröffentlicht in: | Soft matter 2013-01, Vol.9 (45), p.1921-193 |
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| container_title | Soft matter |
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| creator | Chen, Jeff Z. Y |
| description | In two dimensions, a nematic liquid crystal displays a two-fold rotational symmetry about the normal to the embedding surface. A confining line boundary that restricts the system within an area can geometrically frustrate the system, creating a defective structure in orientation. On the basis of the generalized Onsager model, we present the free energy as a function of the particle density distribution for systems under a square or circular confinement. The numerical solution of the model explains the coupled orientational and directional order observed experimentally.
Beyond a transition density, the system of two-dimensional rods in confinement undergoes a transition to an ordered state in which the main body in the center resembles a nematic state. |
| doi_str_mv | 10.1039/c3sm51991k |
| format | Article |
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Beyond a transition density, the system of two-dimensional rods in confinement undergoes a transition to an ordered state in which the main body in the center resembles a nematic state.</description><subject>Boundaries</subject><subject>Confinement</subject><subject>Confining</subject><subject>Free energy</subject><subject>Liquid crystal displays</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Two dimensional</subject><issn>1744-683X</issn><issn>1744-6848</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAYhIMouK5evAvxJkI17-Zt0hw8yOIXLHhQwVto0gSqbVOTFtl_b2VlxYunGZiHYRhCjoFdAOPq0vLU5qAUvO-QGUjETBRY7G49f90nBym9McYLBDEjV09DHO0wRkeDp8NnyKq6dV2qQ1c2NIYqURs6X3euomZNS9pMlpowdlUZ14dkz5dNckc_OicvtzfPy_ts9Xj3sLxeZZbDYshAGOGkB8Wt96iUN0KhLbkXDhEXXorCcKNAmoKhRJF7KZl34HLG5MLlfE7ONr19DB-jS4Nu62Rd05SdC2PSgALzApDhhJ5vUBtDStF53ce6nbZqYPr7I_370QSfbOCY7Jb7k5_-l-u-8vwLKkNu3A</recordid><startdate>20130101</startdate><enddate>20130101</enddate><creator>Chen, Jeff Z. Y</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20130101</creationdate><title>Structure of two-dimensional rods confined by a line boundary</title><author>Chen, Jeff Z. Y</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c312t-16b6e7f193cff499fb694ca3f6e4442f768b3b917b8047465f770fe1e50072e53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Boundaries</topic><topic>Confinement</topic><topic>Confining</topic><topic>Free energy</topic><topic>Liquid crystal displays</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Two dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Jeff Z. Y</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Soft matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Jeff Z. Y</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Structure of two-dimensional rods confined by a line boundary</atitle><jtitle>Soft matter</jtitle><date>2013-01-01</date><risdate>2013</risdate><volume>9</volume><issue>45</issue><spage>1921</spage><epage>193</epage><pages>1921-193</pages><issn>1744-683X</issn><eissn>1744-6848</eissn><abstract>In two dimensions, a nematic liquid crystal displays a two-fold rotational symmetry about the normal to the embedding surface. A confining line boundary that restricts the system within an area can geometrically frustrate the system, creating a defective structure in orientation. On the basis of the generalized Onsager model, we present the free energy as a function of the particle density distribution for systems under a square or circular confinement. The numerical solution of the model explains the coupled orientational and directional order observed experimentally.
Beyond a transition density, the system of two-dimensional rods in confinement undergoes a transition to an ordered state in which the main body in the center resembles a nematic state.</abstract><doi>10.1039/c3sm51991k</doi><tpages>1</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1744-683X |
| ispartof | Soft matter, 2013-01, Vol.9 (45), p.1921-193 |
| issn | 1744-683X 1744-6848 |
| language | eng |
| recordid | cdi_rsc_primary_c3sm51991k |
| source | Royal Society Of Chemistry Journals 2008-; Alma/SFX Local Collection |
| subjects | Boundaries Confinement Confining Free energy Liquid crystal displays Mathematical analysis Mathematical models Two dimensional |
| title | Structure of two-dimensional rods confined by a line boundary |
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