Long Range Bond-Bond Correlations in Dense Polymer Solutions

J. P. Wittmer, H. Meyer, J. Baschnagel, A. Johner, S. Obukhov, L. Mattioni, M. Müller, and A. N. Semenov
Phys. Rev. Lett. 93, 147801 – Published 29 September 2004

Abstract

The scaling of the bond-bond correlation function P1(s) along linear polymer chains is investigated with respect to the curvilinear distance s along the flexible chain and the monomer density ρ via Monte Carlo and molecular dynamics simulations. Surprisingly, the correlations in dense three-dimensional solutions are found to decay with a power law P1(s)sω with ω=3/2 and the exponential behavior commonly assumed is clearly ruled out for long chains. In semidilute solutions, the density dependent scaling of P1(s)gω0(s/g)ω with ω0=22ν=0.824 (ν=0.588 being Flory's exponent) is set by the number of monomers g(ρ) in an excluded volume blob. Our computational findings compare well with simple scaling arguments and perturbation calculation. The power-law behavior is due to self-interactions of chains caused by the chain connectivity and the incompressibility of the melt.

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  • Received 11 March 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.147801

©2004 American Physical Society

Authors & Affiliations

J. P. Wittmer1,*, H. Meyer1, J. Baschnagel1, A. Johner1, S. Obukhov1,2, L. Mattioni3, M. Müller4, and A. N. Semenov1

  • 1Institut Charles Sadron, 6 Rue Boussingault, 67083 Strasbourg, France
  • 2Department of Physics, University of Florida, Gainesville, Florida 32611, USA
  • 3LPMCN, Université Claude Bernard & CNRS, Lyon, France
  • 4Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany

  • *Electronic address: jwittmer@ics.u-strasbg.fr

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Vol. 93, Iss. 14 — 1 October 2004

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