Publication: A new approach to the mean field theory for nematic liquid crystals
Issued Date
2007-09-01
Resource Type
ISSN
15131874
Other identifier(s)
2-s2.0-34948831501
Rights
Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
ScienceAsia. Vol.33, No.3 (2007), 321-327
Suggested Citation
Saman Mongkolsakulvong, I. Ming Tang A new approach to the mean field theory for nematic liquid crystals. ScienceAsia. Vol.33, No.3 (2007), 321-327. doi:10.2306/scienceasia1513-1874.2007.33.321 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/25148
Research Projects
Organizational Units
Authors
Journal Issue
Thesis
Title
A new approach to the mean field theory for nematic liquid crystals
Author(s)
Other Contributor(s)
Abstract
We have developed a new method to calculate the properties of the nematic liquid crystals (NLC). The new method involves the separation of the NLC molecules into two groups; those on a chain embedded in the liquid crystal and the rest. The interactions between the nearest neighbor molecules on the chain are treated exactly while the interaction between a molecule on the string and remaining molecules is treated via a mean field approach. We have calculated the partition function to the order 0(/β3) for the molecules on the chain using the cumulant expansion. Using the standard conditions for a nematic-isotropic (NI) transition to occur, we obtain the values of the interaction energies needed to fit the published data on the NI transitions in the homologous series of NLCs p,p′-di-n-alkoxyazobenzene. We find that the values of the strength of the microscopic interaction between the molecules (J) exhibit an even-odd dependence on the number of (CH2) groups in the tails of the molecules in this series. The values of A (the strength of the mean field interaction) do not exhibit an even-odd effect.