Application of the Continuum Theory to Nematic Liquid Crystals

1972 ◽  
Vol 15 (7) ◽  
pp. 1213 ◽  
Author(s):  
H. C. Tseng
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Continuum Theory ◽  
The Continuum

A continuum theory of disorder in nematic liquid crystals. - II. Intermolecular correlations

1977 ◽  
Vol 353 (1673) ◽  
pp. 261-275 ◽  
Keyword(s):  
Liquid Crystals ◽  
Order Parameter ◽  
Continuum Theory ◽  
The Other ◽  
Wave Number ◽  
Interesting Problem ◽  
Molecular Models ◽  
Partial Agreement ◽  
The Mean ◽  
The Continuum

The continuum theory of nematics suggested in paper I is used to derive an expression for the quantity < P 2 (cos γ ( R ))>, where γ is the angle between the director at two points separated by a distance R . The result tends to the Maier-Saupe limit (S 2 2 , corresponding to no correlations of orientation) for large R , but to unity for small R , while for the value of R corresponding to the mean intermolecular spacing it is about S α 0 2 , with α 0 close to unity. It is suggested that continuum theory may be used to estimate <sin γ ( R )> as well. Two simple molecular models for nematics are discussed in the light of these results, one of them a simplified version of the model on which Maier & Saupe originally based their theory, and the other a steric model of the sort proposed by Onsager. Predictions based upon these models concerning the Frank stiffness constants - in particular, concerning their dependence on the order parameter S 2 at constant volume and temperature and upon wave number q - are found to be in partial but only partial agreement with experiment. An interesting problem concerning the entropy of misalignment and its effect upon the stiffness of a nematic is left unresolved.

Continuum theory for nematic liquid crystals with tensorial order

2004 ◽  
Vol 119 (1-3) ◽  
pp. 51-59 ◽  
Author(s):  
A.M Sonnet ◽  
P.L Maffettone ◽  
E.G Virga
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Continuum Theory

The effect of the elastic constants on the alignment and electro-optic behaviour of smectic C liquid crystals

1997 ◽  
Vol 8 (3) ◽  
pp. 281-291 ◽  
Author(s):  
C. V. BROWN ◽  
P. E. DUNN ◽  
J. C. JONES
Keyword(s):  
Liquid Crystals ◽  
Elastic Constants ◽  
Tilt Angle ◽  
Applied Electric Field ◽  
Continuum Theory ◽  
Optical Studies ◽  
Smectic C ◽  
Electro Optic ◽  
Surface Comparison ◽  
The Continuum

The static electro-optic behaviour of achiral smectic C samples in the chevron geometry have been modelled using the continuum theory of Leslie et al. [1]. The model assumes that the layer tilt and smectic C director tilt angle are constant, and treats the layers at the chevron interface as an infinitely bound surface. Comparison of the predicted electro-optic behaviour with experimental results gives values for the bend (B1) and splay (B2) c-director elastic constants. However, more detailed optical studies show that surface and chevron interface terms become important at high values of applied electric field.

scholarly journals Frank Matthews Leslie. 8 March 1935 – 15 June 2000

2003 ◽  
Vol 49 ◽  
pp. 315-333 ◽  
Author(s):  
R.J. Atkin ◽  
T.J. Sluckin
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Liquid Crystal Display ◽  
Nematic Liquid Crystals ◽  
Continuum Theory ◽  
Hydrodynamic Theory ◽  
Smectic Liquid Crystals ◽  
Applied Mathematician ◽  
Similar Task ◽  
Device Technology

Frank Leslie was a distinguished applied mathematician, who was above all foremost in creating the modern continuum theory of nematic liquid crystals in the late 1960s. This theory is now known as the Ericksen-Leslie theory, and the crucial elements in it as Leslie coefficients. After developing the hydrodynamic theory of nematic liquid crystals, he went on to perform a similar task in the 1990s for smectic liquid crystals. He also actively collaborated with experimentalists and engineers involved in liquid crystal applications, and his work has been extremely influential in the development of liquid crystal display (LCD) device technology.

Sign in / Sign up

Export Citation Format

Share Document