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.

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.

Role of molecular bend angle and biaxiality in the stabilization of the twist-bend nematic phase

Soft Matter ◽  
2020 ◽  
Vol 16 (18) ◽  
pp. 4350-4357 ◽  
Author(s):  
Wojciech Tomczyk ◽  
Lech Longa
Keyword(s):  
Field Theory ◽  
Nematic Phase ◽  
Mean Field Theory ◽  
Mean Field ◽  
Structural Features ◽  
Bend Angle ◽  
Nematic Phases

Within mean-field theory for V-shaped molecules, we have investigated how the alteration of a molecule's structural features influence the stabilization of modulated and non-modulated nematic phases.

THE EDWARDS MODEL: THE GLASS TRANSITION

1992 ◽  
Vol 06 (10) ◽  
pp. 1587-1594 ◽  
Author(s):  
S.F. EDWARDS
Keyword(s):  
Field Theory ◽  
Glass Transition ◽  
Liquid Crystal ◽  
Transport Coefficients ◽  
Mean Field Theory ◽  
Mean Field ◽  
Essential Singularity ◽  
Liquid Crystal Polymers ◽  
New Class ◽  
Edwards Model

The structure of the transport coefficients in the approach to the glass transition is characterized by an essential singularity in their behaviour as functions of the temperature, variously known as the Vogel-Fulcher or Dolittle or Williams-Landel-Ferry laws. This behaviour can be derived directly in certain simple models notably a glass of liquid crystal polymers where mean field theory may be applied. In this paper a new class of closed expressions for transport coefficients are derived and it is shown that they can be used to derive the Vogel-Fulcher law.

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.

IMPORTANCE OF PREFORMATION PROBABILITY IN CLUSTER RADIOACTIVE-DECAYS USING RELATIVISTIC MEAN FIELD THEORY WITHIN THE PREFORMED CLUSTER MODEL

2011 ◽  
Vol 20 (04) ◽  
pp. 1003-1007 ◽  
Author(s):  
BIRBIKRAM SINGH ◽  
S. K. PATRA ◽  
RAJ K. GUPTA
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Empirical Formula ◽  
Cluster Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field

Using the preformed cluster model (PCM) of Gupta and collaborators, we have deduced empirically the preformation probability P0emp from experimental data on both the α and exotic-cluster radioactive decays in the trans-lead region having doubly magic 208 Pb or its neighboring nuclei as daughters, using the spherical and (in some cases) deformed relativistic mean field (RMF) densities. For spherical considerations, the P0α(emp) for alpha-decays is almost constant ~ 10-2 - 10-3 for all the parent nuclei studied, and P0c(emp) for cluster-decays of the same parents decrease with increasing size of cluster. The results obtained for spherical P0c(emp) are within two to three orders of magnitude of the well accepted phenomenological formula of Blendowske-Walliser (BW), which led us to propose a new empirical formula. The use of deformed RMF densities, however, tend to bring the results closer to BW formula.

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