Journal of Chemical Physics, Vol.109, No.2, 798-805, 1998
Dynamics of n-alkanes: Comparison to Rouse model
The crossover to Rouse-type behavior for the self-diffusion constant D, the viscosity eta, and the equilibrium structural statistics of n-alkanes (6 less than or equal to n less than or equal to 66) is studied numerically. For small n the chains are non-Gaussian and the mean squared end-to-end distance [R2] is greater than 6[RG2], where [RG2] is the mean squared radius of gyration. As n increases, [R-2]/[R-G(2)] --> 6(1 + a/n), where a depends on the interaction model. At constant density, the Rouse model is used to extract the monomeric friction coefficient zeta and the viscosity eta independently from the diffusion constant D and the longest relaxation time tau(R). zeta(D) extracted from D is nearly independent of chain length while zeta(tau), obtained from tau(R) is much larger than ib for small n. The viscosity measured in a nonequilibrium molecular dynamics simulation is closely approximated by the Value of eta determined from tau(R), while eta inferred from D is smaller for small n. For n greater than or equal to 60, the two estimates for both zeta and eta agree as predicted from the Rouse model. D calculated from three interaction models is studied for increasing n and compared to experimental data.