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Extra resources for Introduction to Mathematical Statistics
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As a result, their relative motion will be geometrically constrained, and the physics becomes non-trivial since many-particle correlations have to be considered. This situation will be applicable to a thermotropic nematic liquid as well. In general the orientation of the director in a flowing nematic is determined by four external influences which tend to compete with, and in the steady state balance one another. The first effect is the influence of flow alignment; in the case of simple planar shear this tends to rotate the director until it lies almost, though not quite, in the direction in which the fluid is moving.