Liquid Crystals in Two Dimensions
- 1 August 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 4 (2) , 675-681
- https://doi.org/10.1103/physreva.4.675
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.Keywords
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