1999
DOI: 10.1103/physreve.59.6802
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Rotational viscosity in a nematic liquid crystal: A theoretical treatment and molecular dynamics simulation

Abstract: The rotational viscosity coefficient gamma(1) of 4-n-pentyl-4(')-cyanobiphenyl in the nematic phase is investigated by combination of existing statistical-mechanical approaches (SMAs), based on a rotational diffusion model and computer simulation technique. The SMAs rest on a model in which it is assumed that the reorientation of an individual molecule is a stochastic Brownian motion in a certain potential of mean torque. According to the SMAs, gamma(1) is found to be a function of temperature, density, rotati… Show more

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Cited by 48 publications
(32 citation statements)
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“…None-the-less the two methods appear to give comparable results and a direct comparison with experiment for PCH5 (figure 11), points to this being a promising way of obtaining γ 1 . It is possible also to obtain γ 1 from calculations of rotational diffusion (RD) coefficient, as described by Zakharov and co-workers [103,104], and by forcing the nematic director to rotate under the influence of an external field [105]. These have been shown to give good agreement with experiment.…”
Section: Rotational Viscositymentioning
confidence: 88%
“…None-the-less the two methods appear to give comparable results and a direct comparison with experiment for PCH5 (figure 11), points to this being a promising way of obtaining γ 1 . It is possible also to obtain γ 1 from calculations of rotational diffusion (RD) coefficient, as described by Zakharov and co-workers [103,104], and by forcing the nematic director to rotate under the influence of an external field [105]. These have been shown to give good agreement with experiment.…”
Section: Rotational Viscositymentioning
confidence: 88%
“…all outputs are merely estimates and (iii) using MC it is also difficult to devise structural perturbations. [17][18][19] The latter types of simulation technique have advantages as: (i) it works as experimental bridge between structures and macroscopic kinetic data; (ii) it takes much longer time to get the simulation results; [4][5][6] (iii) it gives a route to dynamical properties of the system such as transport coefficients, time-dependent responses to perturbations, rheological properties and spectra, which is the obvious advantage of MD over MC. 20 The disadvantages of MD-techniques include (i) short time span; (ii) MD simulation design must be matched with the available computational power; (iii) during a MD simulation test, the most CPU intensive task is the evaluation of the potential, i.e.…”
Section: Computer Simulation In Liquid Crystals Researchmentioning
confidence: 99%
“…Allen et al 11 have deduced analytical expressions for the rotational viscosity for hard convex bodies. For nematic liquid crystals composed of relatively large molecules with molecular weight in the order of 250 g / mol, Zakharov et al 12 and also Capar and Cebe 13 have studied the rotational viscosity as a function of temperature by using MD. To the best of our knowledge, no one has yet published any systematic study of the rotational viscosity as a function of density and temperature and for different molecular fluids.…”
Section: ͑2͒mentioning
confidence: 99%