Abstract
We shall discuss here the macroscopic dynamics of liquid crystals that is an area of hydrodynamics or macroscopic properties related to elasticity and viscosity. With respect to the molecular dynamics, which deals, for example, with NMR, molecular diffusion or dipolar relaxation of molecules, the area of hydrodynamics is a long scale, both in space and time. The molecular dynamics deals with distances of about molecular size, a ≈ 10 Å, i.e., with wavevectors about 107 cm−1, however, in the vicinity of phase transitions, due to critical behaviour, characteristic lengths of short-range correlations can be one or two orders of magnitude larger. Therefore, as a limit of the hydrodynamic approach we may safely take the range of wavevectors q ≪ 106 cm−1 and corresponding frequencies ω ≪ c s q ≈ 105⋅ 106 = 1011s−1 (c s is sound velocity).
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Blinov, L.M. (2011). Elements of Hydrodynamics. In: Structure and Properties of Liquid Crystals., vol 123. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8829-1_9
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DOI: https://doi.org/10.1007/978-90-481-8829-1_9
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