Liquid crystals in two dimensions

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105 Scopus citations

Abstract

The existence of liquid crystalline order in two dimensions is discussed. It is shown that, contrary to a previous contention, a theory based on the lowest-order approximation to the virial expansion of the free energy (the Onsager limit) indicates that a nematic ordering transition does occur. The effects of the fluctuations in order are considered, and it is shown that the usual elastic theories cannot hold in two dimensions. I attempt to construct a microscopic discussion based on the Bogoliubov inequality, but find that it cannot be applied straightforwardly to this case.

Original languageEnglish
Pages (from-to)675-681
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume4
Issue number2
DOIs
StatePublished - 1971

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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