Abstract
The formation of oblique rolls in nematic liquid crystals driven by
dichotomous stochastic fields is investigated in the frame of a
one-dimensional linear theory including the flexoeffect, and
in the frame of a three-dimensional linear theory with free boundary
conditions. In the first model the threshold for the stability of the first
moments is calculated and the angle of the oblique rolls is determined
by mode selection. It is shown that in certain parameter ranges
oblique rolls have lower thresholds than normal rolls. As for
deterministic excitation, with increasing flexoeffect the formation
of oblique rolls is favoured. It is observed that at full strength
the flexoeffect alone is able to trigger the formation of rolls.
In the three-dimensional model the threshold for the stability of the
first moments is calculated again and the two wave numbers which give the
angle of the oblique rolls are determined by mode selection. The appearance of
oblique rolls is studied for different parameters of the driving stochastic
field. The results are compared with those of the one-dimensional model without
the flexoeffect.
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