Nematic ordering problem as the polymer problem of the excluded volume |
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Authors: | A N Yakunin |
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Institution: | (1) Karpov Institute of Physical Chemistry, 103064 Moscow, Russia |
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Abstract: | Based on a solution of the polymer excluded volume problem, a technique is proposed to estimate some parameters at the isotropic-nematic
liquid crystal phase transition (the product of the volume fraction of hard sticks and the ratio of the stick length, L, to its diameter, D; the maximum value of this ratio at which one cannot regard the stick as hard). The critical exponents are estimated. The
transition of a swelling polymer coil to ideal is revealed as the polymerization degree of a macromolecule increases. The
entanglement concentration obtained agrees with experimental data for polymers with flexible chains. The number of monomers
between neighbor entanglements is assumed to be the ratio L/D. A comparison of the theory with other ones and recent experimental data is made. |
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Keywords: | nematic ordering polymer excluded volume problem critical exponents |
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