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Original Articles

Calculation of the Thermodynamic Function of Some Liquid Crystals by the Monte-Carlo Method

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Pages 31-36 | Received 01 Oct 1992, Accepted 27 Apr 1993, Published online: 24 Sep 2006
 

Abstract

The Monte-Carlo method in the canonical NVT-ensemble is used to consider a system of 64 ellipsoidal, interacting particles (molecules). Their interactions are calculated, using the modified Lennard-Jones potential. The calculations were performed in a parallelepipedic box, using periodic boundary conditions. The particle eccentricity (length-to-width ratio), necessary for calculations, was selected in accordance with the data of conformational analysis of such nematic liquid crystal molecules as 4-cyanphenyl ether n-heptylbenzoic acid and 4-n-butyl-4′-n′-heptanoil-oxiazoxibenzene. Similar calculations have been also performed for the case when each of the ensemble particles is presented as a cluster of several molecules. The interaction among them has been also calculated by the Lennard-Jones potential. Here ellipsoidal particle dimensions have been determined due to the data on the position of molecules inside the cluster, obtained by the method of atom-atom potentials. We have considered clusters consisting of two and four molecules. It is shown that the short-range order effects taken into account affect and specify the results for the specific heat and the order parameter.

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