M. Koch et al., POLYMER-CHAINS TETHERED TO IMPENETRABLE INTERFACES - BROADENING OF RELAXATION SPECTRA, The Journal of chemical physics, 106(3), 1997, pp. 1248-1256
We investigate the dynamics of an ideal polymer chain which is tethere
d with one of its ends to an impenetrable interface. Due to the geomet
ric restrictions the relaxation of modes perpendicular to the interfac
e differs significantly from that of modes parallel to it. A superposi
tion of both components leads to a marked broadening of the relaxation
spectrum, which may find its signature in dielectric measurements. We
obtain the relevant dynamical quantities for a polymer chain subject
to geometric constraints by use of the Smoluchowski equation combined
with a Rayleigh-Ritz variational scheme. (C) 1997 American Institute o
f Physics.