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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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Física
2002
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332002000300005 |
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| Summary: | 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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