--- trunk/tengDissertation/LiquidCrystal.tex	2006/05/31 04:29:44	2781
+++ trunk/tengDissertation/LiquidCrystal.tex	2006/06/01 05:11:14	2782
@@ -32,14 +32,47 @@ second-order nonlinear optical devices.
 supramolecular chirality, the spontaneous polarization arises in
 ferroelectric (FE) and antiferroelectic (AF) switching of smectic
 liquid crystal phases, demonstrating some promising applications in
-second-order nonlinear optical devices.
+second-order nonlinear optical devices. The most widely investigated
+mesophase formed by banana-shaped moleculed is the $\text{B}_2$
+phase, which is also referred to as $\text{SmCP}$. Of the most
+important discover in this tilt lamellar phase is the four distinct
+packing arrangements (two conglomerates and two macroscopic
+racemates), which depend on the tilt direction and the polar
+direction of the molecule in adjacent layer (see
+Fig.~\cite{LCFig:SMCP}).
 
-The most widely investigated mesophase formed by banana-shaped
-moleculed is the $\text{B}_2$ phase, which is also known as
-$\text{SmCP}$.
+%general banana-shaped molecule modeling
+Many liquid crystal synthesis experiments suggest that the
+occurrence of polarity and chirality strongly relies on the
+molecular structure and intermolecular interaction. From a
+theoretical point of view, it is of fundamental interest to study
+the structural properties of liquid crystal phases formed by
+banana-shaped molecules and understand their connection to the
+molecular structure, especially with respect to the spontaneous
+achiral symmetry breaking. As a complementary tool to experiment,
+computer simulation can provide unique insight into molecular
+ordering and phase behavior, and hence improve the development of
+new experiments and theories. In the last two decades, all-atom
+models have been adopted to investigate the structural properties of
+smectic arrangements\cite{Cook2000, Lansac2001}, as well as other
+bulk properties, such as rotational viscosity and flexoelectric
+coefficients\cite{Cheung2002, Cheung2004}. However, due to the
+limitation of time scale required for phase
+transition\cite{Wilson1999} and the length scale required for
+representing bulk behavior, the dominant models in the field of
+liquid crystal phase behavior are generic
+models\cite{Lebwohl1972,Perram1984, Gay1981}, which are based on the
+observation that liquid crystal order is exhibited by a range of
+non-molecular bodies with high shape anisotropies. Previous
+simulation studies using hard spherocylinder dimer
+model\cite{Camp1999} produce nematic phases, while hard rod
+simulation studies identified a Landau point\cite{Bates2005}, at
+which the isotropic phase undergoes a transition directly to the
+biaxial nematic, as well as some possible liquid crystal
+phases\cite{Lansac2003}. Other anisotropic models using Gay-Berne
+potential give the evidence of the novel packing arrangement of
+bent-core molecules\cite{Memmer2002,Orlandi2006}.
 
-%Previous Theoretical Studies
-
 \section{\label{liquidCrystalSection:model}Model}
 
 \section{\label{liquidCrystalSection:methods}Methods}