Nematic ordering problem as the polymer problem of the excluded volume

• Authors: A. Yakunin
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

nematic ordering; polymer excluded volume problem; critical exponents; 61.30.Cz; 61.25.Hq; 05.70.Jk

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2003
• Volume: 1
• Issue: 2
• Pages: 355-362

Dates

published

1 - 6 - 2003

online

1 - 6 - 2003

Contributors

author

A. Yakunin

• Karpov Institute of Physical Chemistry, 103064, Moscow, Russia

References

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Identifiers

DOI

10.2478/BF02476302