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\section{Results and Discussion} |
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A series of molecular dynamics simulations were perform to study the |
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A series of molecular dynamics simulations were performed to study the |
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phase behavior of banana shaped liquid crystals. In each simulation, |
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every banana shaped molecule has been represented by three GB |
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particles which is characterized by $\mu = 1,~ \nu = 2, |
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The molecular organization obtained at temperature $T = 460K$ (below |
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transition temperature) is shown in Figure~\ref{LCFigure:snapshot}. |
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The diagonal view in Fig~\ref{LCFigure:snapshot}(a) shows the |
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stacking of the banana shaped molecules while the side view in n |
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stacking of the banana shaped molecules while the side view in |
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Figure~\ref{LCFigure:snapshot}(b) demonstrates formation of a |
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chevron structure. The first peak of the radial distribution |
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function $g(r)$ in Fig.~\ref{LCFigure:gofrz}(a) shows that the |
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director frame and $R$ is the radius of the cylindrical sampling |
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region. The oscillation in density plot along the director in |
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Fig.~\ref{LCFigure:gofrz}(b) implies the existence of the layered |
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structure, and the peak at 27 \AA is attributed to a defect in the |
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structure, and the peak at 27 $\rm{\AA}$ is attributed to a defect in the |
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system. |
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\subsection{Rotational Invariants} |
