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| - Dynamics of defects in electroconvection patterns
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| - In homeotropically aligned nematics with negative dielectric anisotropy the electrohydrodynamic instability occurs above a bend Fréedericksz transition. In the presence of a magnetic field $\vec{H}$ parallel to the liquid crystal slab, ordered roll patterns with a well-defined uniform wave vector $\vec{k}_{id}$ appear above the onset of convection. By rotating the cell around an axis perpendicular to the slab by a small angle α, one can manipulate the system into a state with wave vector $\vec{k}=\vec{k}_{id}+\Delta \vec{k}$, where $\Delta \vec{k}$ is roughly perpendicular to $\vec{k}_{id}$. We have studied experimentally the motion of defects, which then move essentially perpendicular to the rolls. The direction as well as the magnitude of the velocity as a function of $\Delta \vec{k}$ agrees with predictions of the weakly nonlinear theory. In particular, we obtain evidence for the nonanalyticity for $\Delta \vec{k} \to 0$.
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