Mean Field Theory for the Biaxial Nematic Phase and The NN'AC Critical Point

1987 ◽  
Vol 146 (1) ◽  
pp. 55-69 ◽  
Author(s):  
T. C. Lubensky
Soft Matter ◽  
2020 ◽  
Vol 16 (18) ◽  
pp. 4350-4357 ◽  
Author(s):  
Wojciech Tomczyk ◽  
Lech Longa

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.


2016 ◽  
Vol 18 (6) ◽  
pp. 4394-4404 ◽  
Author(s):  
D. O. López ◽  
B. Robles-Hernández ◽  
J. Salud ◽  
M. R. de la Fuente ◽  
N. Sebastián ◽  
...  

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


1975 ◽  
Vol 53 (21) ◽  
pp. 2369-2374 ◽  
Author(s):  
Alain Caillé ◽  
Göran Ågren

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.


1989 ◽  
Vol 4 (5) ◽  
pp. 477-481 ◽  
Author(s):  
Deng-Ke Yang ◽  
Chester A. Vause

2005 ◽  
Vol 20 (35) ◽  
pp. 2711-2721 ◽  
Author(s):  
ZONG-QIANG SHENG ◽  
JIAN-YOU GUO

The shape phase transition between spherical U (5) and axially deformed SU (3) nuclei is investigated systemically for the rare-earth region nuclei by the constrained relativistic mean field theory with the interactions NL3. The properties of ground state for Nd , Gd and Dy isotopes are described fairly well as compared with experiments. By examining the potential energy curve and quadruple deformation β2 obtained with this microscopic approach, the possible critical point nuclei are suggested to be 148,150 Nd for Nd isotopes, but 148 Nd is the best candidate, and 150 Nd is slightly to the rotor side of the phase transition. For Gd and Dy isotopes, 150,152 Gd and 152,154 Dy are suggested to be the critical point nuclei. Similar conclusions are also drawn from the microscopic neutron single particle spectra.


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