scholarly journals Nematic-isotropic phase transition: An extended mean field theory

1993 ◽  
Vol 70 (9) ◽  
pp. 1271-1274 ◽  
Author(s):  
Ruibao Tao ◽  
Ping Sheng ◽  
Z. F. Lin
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Mean Field Theory ◽  
Mean Field ◽  
Isotropic Phase

Microscopic description in the Gaussian approximation of the nematic-isotropic phase transition

1991 ◽  
Vol 69 (2) ◽  
pp. 154-160
Author(s):  
P. A. Pashkov ◽  
S. I. Vasiliev
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Gaussian Approximation ◽  
Dimensional Space ◽  
Mean Field Theory ◽  
Mean Field ◽  
Isotropic Phase ◽  
Cluster Approximation ◽  
Field Fluctuations ◽  
The Mean

The nematic-isotropic phase transition of a system of nonpolar rodlike molecules is considered. The mean-field theory is extended to take into account the local field fluctuations in the Gaussian approximation. The calculations are performed in the five-dimensional space of the order-parameter components. The numerical results are obtained for the lattice system of molecules and compared with the calculations in the mean-field theory, cluster approximation, and Monte-Carlo simulation data.

scholarly journals Miscibility studies of two twist-bend nematic liquid crystal dimers with different average molecular curvatures. A comparison between experimental data and predictions of a Landau mean-field theory for the NTB–N phase transition

2016 ◽  
Vol 18 (6) ◽  
pp. 4394-4404 ◽  
Author(s):  
D. O. López ◽  
B. Robles-Hernández ◽  
J. Salud ◽  
M. R. de la Fuente ◽  
N. Sebastián ◽  
...  
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Phase Transition ◽  
Liquid Crystal ◽  
Nematic Phase ◽  
Mean Field Theory ◽  
Mean Field ◽  
Landau Model ◽  
First Order ◽  
Miscibility Studies

We have developed a Landau model that predicts a first order twist-bend nematic–nematic phase transition.

Transitions de phase dans une couche monomoléculaire sur un substrat liquide adhésif

1975 ◽  
Vol 53 (21) ◽  
pp. 2369-2374 ◽  
Author(s):  
Alain Caillé ◽  
Göran Ågren
Keyword(s):  
Field Theory ◽  
Nematic Phase ◽  
Short Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Isotropic Phase ◽  
Minimum Length ◽  
Monomolecular Layer ◽  
Short Range Repulsion ◽  
Breadth Ratio

We use a lattice model to characterize the state of a monomolecular layer of long and rigid molecules. The solutions are obtained using a mean field theory with only short range repulsion forces. The basic results are: (1) a stable nematic phase for a region of density above a minimum length to breadth ratio; (2) the transition between the nematic phase and the isotropic phase is found to be second order. The results are in excellent agreement with those obtained with a mercury subphase.

scholarly journals Correction: Miscibility studies of two twist-bend nematic liquid crystal dimers with different average molecular curvatures. A comparison between experimental data and predictions of a Landau mean-field theory for the NTB–N phase transition

2016 ◽  
Vol 18 (9) ◽  
pp. 6955-6955 ◽  
Author(s):  
D. O. López ◽  
B. Robles-Hernández ◽  
J. Salud ◽  
M. R. de la Fuente ◽  
N. Sebastián ◽  
...  
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Phase Transition ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Mean Field Theory ◽  
Mean Field ◽  
Chem Phys ◽  
Phys Chem Chem Phys ◽  
Miscibility Studies

Correction for ‘Miscibility studies of two twist-bend nematic liquid crystal dimers with different average molecular curvatures. A comparison between experimental data and predictions of a Landau mean-field theory for the NTB–N phase transition’ by D. O. López et al., Phys. Chem. Chem. Phys., 2016, 18, 4394–4404.

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