Similar to the Debye–Hückel plasma, charged groups in solutions of rigid rod polyelectrolytes attract each other. We derive expression for the correlation free energy of electrostatic attraction of the rods within the random phase approximation. In this theory, we explicitly take into account positions of charged groups on the chains and examine both charge and polymer concentration fluctuations. The correlation free energies and the osmotic pressures are calculated for isotropic and completely ordered nematic phase. The results of the discrete model are compared with results of a continuous model. The discrete model gives rise to a stronger attraction between the charged groups both in the isotropic and nematic phases and to a stronger orienting action of the electrostatic forces.
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21 February 2011
Research Article|
February 15 2011
Nematic ordering of rigid rod polyelectrolytes induced by electrostatic interactions: Effect of discrete charge distribution along the chain Available to Purchase
Dian Yang;
Dian Yang
1Department of Mathematics,
College of William and Mary
, Williamsburg, Virginia 23187, USA
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Sergey V. Venev;
Sergey V. Venev
2Physics Department,
Moscow State University
, Moscow 119991, Russia
3Department of Polymer Science,
University of Ulm
, 89069 Ulm, Germany
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Vladimir V. Palyulin;
Vladimir V. Palyulin
2Physics Department,
Moscow State University
, Moscow 119991, Russia
3Department of Polymer Science,
University of Ulm
, 89069 Ulm, Germany
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Igor I. Potemkin
Igor I. Potemkin
a)
2Physics Department,
Moscow State University
, Moscow 119991, Russia
3Department of Polymer Science,
University of Ulm
, 89069 Ulm, Germany
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Dian Yang
1
Sergey V. Venev
2,3
Vladimir V. Palyulin
2,3
Igor I. Potemkin
2,3,a)
1Department of Mathematics,
College of William and Mary
, Williamsburg, Virginia 23187, USA
2Physics Department,
Moscow State University
, Moscow 119991, Russia
3Department of Polymer Science,
University of Ulm
, 89069 Ulm, Germany
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected].
J. Chem. Phys. 134, 074901 (2011)
Article history
Received:
October 26 2010
Accepted:
January 24 2011
Citation
Dian Yang, Sergey V. Venev, Vladimir V. Palyulin, Igor I. Potemkin; Nematic ordering of rigid rod polyelectrolytes induced by electrostatic interactions: Effect of discrete charge distribution along the chain. J. Chem. Phys. 21 February 2011; 134 (7): 074901. https://doi.org/10.1063/1.3554746
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