Distance dependence of angular correlations in dense polymer solutions

Abstract

Angular correlations in dense solutions and melts of flexible polymer chains are investigated with respect to the distance $r$ between the bonds by comparing quantitative predictions of perturbation calculations with numerical data obtained by Monte Carlo simulation of the bond-fluctuation model. We consider both monodisperse systems and grand-canonical (Flory-distributed) equilibrium polymers. Density effects are discussed as well as finite chain length corrections. The intrachain bond-bond correlation function $P(r)$ is shown to decay as $P(r)\sim 1/r^3$ for $ξ\ll r \ll \r^*$ with $\xi$ being the screening length of the density fluctuations and $r^{\ast }\sim N^{1/3}$ a novel length scale increasing slowly with (mean) chain length $N$.

17 pages, 5 figures, accepted for publication at Macromolecules

References in corpus (6)

• Intramolecular long-range correlations in polymer melts: The segmental size distribution and its moments
• Why polymer chains in a melt are not random walks
• Intramolecular Form Factor in Dense Polymer Systems: Systematic Deviations from the Debye formula
• Static Rouse Modes and Related Quantities: Corrections to Chain Ideality in Polymer Melts
• A finite excluded volume bond-fluctuation model: Static properties of dense polymer melts revisited
• Are polymer melts "ideal"?

Cited by in corpus (2)

• Scale-free static and dynamical correlations in melts of monodisperse and Flory-distributed homopolymers: A review of recent bond-fluctuation model studies
• Hyperuniformity of Weighted Particle Systems