Long Range Bond-Bond Correlations in Dense Polymer Solutions

Abstract

The scaling of the bond-bond correlation function $C(s)$ along linear polymer chains is investigated with respect to the curvilinear distance, $s$, along the flexible chain and the monomer density, $\rho$, via Monte Carlo and molecular dynamics simulations. % Surprisingly, the correlations in dense three dimensional solutions are found to decay with a power law $C(s)\sim s^{-\omega }$ with $\omega =3/2$ and the exponential behavior commonly assumed is clearly ruled out for long chains. % In semidilute solutions, the density dependent scaling of $C(s)\approx g^{-{\omega }_0}(s/g{)}^{-\omega }$ with ${\omega }_0=2-2\nu =0.824$ ($\nu =0.588$ being Flory's exponent) is set by the number of monomers $g(\rho )$ contained in an excluded volume blob of size $\xi$. % Our computational findings compare well with simple scaling arguments and perturbation calculation. The power-law behavior is due to self-interactions of chains on distances $s\gg g$ caused by the connectivity of chains and the incompressibility of the melt. %

4 pages, 4 figures

References in corpus (2)

• Equilibration of Long Chain Polymer Melts in Computer Simulations
• Calculation of the persistence length of a flexible polymer chain with short range self-repulsion

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