[PDF] Top 20 Continuum theory for liquid crystals

... The continuum theories for liquid crystals that are in use today largely stem from the original work of Oseen [88, 89] and Zocher [115, 116], and the general classifications of liquid crystal ... See full document

... a continuum theory was by Saupe [9], with other formulations following by Liu [10], Kini [11], Govers and Vertogen [12–14], Chaur´ e [15] and Leslie, Laverty and Carlsson ...same continuum the- ory ... See full document

... mathematical theory of liquid crystals has been extensively studied for over 75 years (for an introduction to many of the important ideas, see ...a liquid crystal ...nematic liquid ... See full document

... Frank-Oseen-Zocher theory [28, 36, 17], obtained by replacing the director order parameter with the tensor of second- order moments of the local probability distribution of nematic molecules [12, ...classical ... See full document

... classical theory [4] predicts that the interaction force in the x-direction between dislocations can become repulsive for ∆z 6= 0 for a sufficiently small separation ... See full document

... outweighs its benefits as h decreases. For ideal preconditioning, we see that k is, as predicted by the theory in [30], essentially independent of the discretisation parameter h, although the cost of explicitly ... See full document

... elastic theory are a very powerful tool to study ...elastic theory treats the liquid crystal as purely uniaxial, however it has been shown that the defect core is biaxial throughout [21, ... See full document

... the continuum length and time ...a continuum description can prove perfectly adequate (explaining the popularity of Ericksen-Leslie theory) and the molecular basis of LCs can be ... See full document

... Abstract: The paper is discussing the contributions to the free energy of elastic distortions in a nematic liquid crystal. These contributions are here given by tensors, which are represented by means of the ... See full document

... the theory of defective crystals that was introduced by Davini [5] in ...such crystals, ap- proached by consideration of the symmetries inherent in these ...fective) crystals, in order to ... See full document

... these time correlation functions c n (k, t) follow an exponential decay for the splay and twist mode with the decay rates increasing with increasing wave number k. For the bend mode we observe an oscillation in addition ... See full document

... The global approach to defect topology provides a classification of nematic textures in terms of topological properties of the entire domain and can be contrasted against the homotopy groups that reflect only the ... See full document

... of all other compounds. The small-angle X-ray scattering (SAXS) patterns show numerous Bragg reflections, which can be indexed on a rectangular c2mm lattice (conditions hk: h þ k ¼ 2n: h0: h ¼ 2n and k0: k ¼ 2n, see Fig. ... See full document

... The polarized IR measurements were performed using Bio-Rad FTS-6000 spectrometer with spectral range of 450 to 4000 cm -1 in wave number. The spectrometer is equipped with a liquid nitrogen cooled mercury cadmium ... See full document

... to diverge for several mesogens, and computer simulation can capture more of the behaviour. Simulation studies have been performed for many of the mesogens in various geometries, with a pair of hard parallel walls ... See full document

... molecular-statistical theory [3–6] the dipole-dipole interaction is considered to be responsible for ferroelec- tric ordering in isotropic fluids composed of strongly polar but weakly anisometric ... See full document

... quantum liquid is described as a system that is locally like a solid carrying propagating ...a liquid at distances larger than the average distance between the ...Euclidean continuum the core ... See full document

... Keywords: mesoscopic theory; internal variables; liquid crystals; damage parameter; dipolar media; 10.. flexible fibers 11.[r] ... See full document

... The devices constructed in reference [3] were fabricated by shearing the upper and lower surfaces to ensure that the smectic layers were uniform, and normal to the substrates and the shear direction. Such a method is not ... See full document

... verely reduce the stability of the nematic phase. Compound 10 has a nematic phase that is less than half as wide as that of compound 11 with the decrease in nematic range in com- pound 10 resulting from increased ... See full document