Osipov, Mikhail and Pajak, Grzegorz (2012) Molecular theory of the tilting transition in smectic liquid crystals with weak layer contraction and diffused cone orientational distribution. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 85 (121701). ISSN 1063-651XFull text not available in this repository. (Request a copy from the Strathclyde author)
A molecular field theory of the smectic-A−smectic-C transition has been developed for smectics with a diffused cone orientational distribution of molecules (volcano-like distribution function) in the smectic-A phase and anomalously weak layer contraction in the smectic-C phase. Orientational order parameters and smectic layer spacing have been calculated numerically as functions of temperature and compared with the results obtained using a model with a standard Maier-Saupe–type distribution function that has been considered before. A molecular theory of the electroclinic effect in chiral smectics has also been developed using the recently proposed simple biaxial interaction potential. A comparison has been made between the absolute values and temperature variations of the electroclinic coefficient obtained using the volcano model, the model with Maier-Saupe–type distribution, and the orthodox cone model proposed by de Vries. It has been shown that the model with a conventional “sugar loaf” type orientational distribution function in the smectic-A phase is sufficient to describe the main properties of smectics with anomalously weak layer contraction.
|Keywords:||tilting transition , smectic liquid crystals, weak layer contraction, Probabilities. Mathematical statistics, Physics and Astronomy(all), Mathematical Physics, Statistical and Nonlinear Physics, Condensed Matter Physics|
|Subjects:||Science > Mathematics > Probabilities. Mathematical statistics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||16 Feb 2012 10:53|
|Last modified:||06 Jan 2017 10:37|