Abstract
The orientational ordering present in all liquid crystalline phases is described by an anisotropic orientation distribution function (ODF), which depends on position, time and the particle orientation. Besides the ODF other mesoscopic fields, depending on the same set of variables, are introduced, and balance equations for them are given. The mesoscopic balance of spin and the mesoscopic balance of mass together yield a differential equation for the ODF and for its second moment, the alignment tensor in the presence of an electric field. Because higher order alignment tensors enter into the equation for the second order one a closure relation, expressing them in terms of the second order one, is needed. Such a closure relation is derived from the principle of maximum entropy.
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