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Time correlation functions in the Lebwohl-Lasher model of liquid crystals

Varghese, A. and Ilg, P. (2017) Time correlation functions in the Lebwohl-Lasher model of liquid crystals. Physical Review E, 96 (3). 032705. ISSN 1539-3755

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To link to this item DOI: 10.1103/PhysRevE.96.032705

Abstract/Summary

Time correlation functions in the Lebwohl-Lasher model of nematic liquid crystals are studied using theory and molecular dynamics simulations. In particular, the autocorrelation functions of angular momentum and nematic director fluctuations are calculated in the long-wavelength limit. The constitutive relations for the hydrodynamic currents are derived using a standard procedure based on non-negativity of the entropy production. The continuity equations are then linearized and solved to calculate the correlation functions. We find that the transverse angular momentum fluctuations are coupled to the director fluctuations, and are both propagative. The propagative nature of the fluctuations suppress the anticipated hydrodynamic long-time tails in the single-particle autocorrelation functions. The fluctuations in the isotropic phase are however diffusive, leading to $t^{-d/2}$ long-time tails in $d$ spatial dimensions. The Frank elastic constant measured using the time-correlation functions are in good agreement with previously reported results.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:72439
Publisher:American Physical Society

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