Unstable planar one-dimensional configurations in nematic liquid crystals
In this work it is analytically shown that any one-dimensional non-uniform planar configuration is unstable with relation to out-of-plane tilts. The fluctuations describing this escape into the third dimension are studied, and it is shown that the minimization of the bulk free energy makes non-null the mean values of the parameters describing these uctuations. The equations describing this phenomenon are proposed and solved in the small bending approximation.
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Sociedade Brasileira de Física
2002
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oai:scielo:S0103-973320020003000052002-11-20Unstable planar one-dimensional configurations in nematic liquid crystalsSimões,M.Gonçalves,A. E.In this work it is analytically shown that any one-dimensional non-uniform planar configuration is unstable with relation to out-of-plane tilts. The fluctuations describing this escape into the third dimension are studied, and it is shown that the minimization of the bulk free energy makes non-null the mean values of the parameters describing these uctuations. The equations describing this phenomenon are proposed and solved in the small bending approximation.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.32 n.2b 20022002-06-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332002000300005en10.1590/S0103-97332002000300005 |
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| author |
Simões,M. Gonçalves,A. E. |
| spellingShingle |
Simões,M. Gonçalves,A. E. Unstable planar one-dimensional configurations in nematic liquid crystals |
| author_facet |
Simões,M. Gonçalves,A. E. |
| author_sort |
Simões,M. |
| title |
Unstable planar one-dimensional configurations in nematic liquid crystals |
| title_short |
Unstable planar one-dimensional configurations in nematic liquid crystals |
| title_full |
Unstable planar one-dimensional configurations in nematic liquid crystals |
| title_fullStr |
Unstable planar one-dimensional configurations in nematic liquid crystals |
| title_full_unstemmed |
Unstable planar one-dimensional configurations in nematic liquid crystals |
| title_sort |
unstable planar one-dimensional configurations in nematic liquid crystals |
| description |
In this work it is analytically shown that any one-dimensional non-uniform planar configuration is unstable with relation to out-of-plane tilts. The fluctuations describing this escape into the third dimension are studied, and it is shown that the minimization of the bulk free energy makes non-null the mean values of the parameters describing these uctuations. The equations describing this phenomenon are proposed and solved in the small bending approximation. |
| publisher |
Sociedade Brasileira de Física |
| publishDate |
2002 |
| url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332002000300005 |
| work_keys_str_mv |
AT simoesm unstableplanaronedimensionalconfigurationsinnematicliquidcrystals AT goncalvesae unstableplanaronedimensionalconfigurationsinnematicliquidcrystals |
| _version_ |
1756407257507037184 |