TY - JOUR
T1 - Spinodal decomposition in a semidilute suspension of rodlike macromolecules
AU - Winters, J.W.
AU - Odijk, T.
AU - Schoot, van der, P.P.A.M.
PY - 2001
Y1 - 2001
N2 - The Doi-Shimada-Okano [J. Chem. Phys. 88, 4070 (1988)] theory of the spinodal decomposition in a suspension of rods is reinvestigated analytically. Short enough rods may rotate fairly unhindered so we emphasize translational diffusion. The excluded-volume effect between the rods gives rise to a coupling of the orientational and translational degrees of freedom. This effect may be addressed correctly because the kernel in the equation describing the dynamic evolution of the one-particle distribution turns out to be degenerate. The two principal eigenvalues calculated analytically agree with previous numerical work by Maeda [Macromolecules 22, 1881 (1989); 23, 1464 (1990)]. It is concluded that the associated relaxation modes do not represent pure density and orientation fluctuation modes.
AB - The Doi-Shimada-Okano [J. Chem. Phys. 88, 4070 (1988)] theory of the spinodal decomposition in a suspension of rods is reinvestigated analytically. Short enough rods may rotate fairly unhindered so we emphasize translational diffusion. The excluded-volume effect between the rods gives rise to a coupling of the orientational and translational degrees of freedom. This effect may be addressed correctly because the kernel in the equation describing the dynamic evolution of the one-particle distribution turns out to be degenerate. The two principal eigenvalues calculated analytically agree with previous numerical work by Maeda [Macromolecules 22, 1881 (1989); 23, 1464 (1990)]. It is concluded that the associated relaxation modes do not represent pure density and orientation fluctuation modes.
U2 - 10.1103/PhysRevE.63.011501
DO - 10.1103/PhysRevE.63.011501
M3 - Article
SN - 1539-3755
VL - 63
SP - 11501-1/4
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
ER -