Long Range Bond-Bond Correlations in Dense Polymer Solutions - Archive ouverte HAL
Article Dans Une Revue Physical Review Letters Année : 2004

Long Range Bond-Bond Correlations in Dense Polymer Solutions

Résumé

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.

Dates et versions

hal-00195481 , version 1 (11-12-2007)

Identifiants

Citer

Joachim Wittmer, Hendrik Meyer, Joerg Baschnagel, Albert Johner, Sergei P. Obukhov, et al.. Long Range Bond-Bond Correlations in Dense Polymer Solutions. Physical Review Letters, 2004, 93 (14), pp.147801. ⟨10.1103/PhysRevLett.93.147801⟩. ⟨hal-00195481⟩
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