N. Fatkullin et al., SPIN-LATTICE RELAXATION OF POLYMERS - THE MEMORY-FUNCTION FORMALISM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(6), 1993, pp. 4600-4603
An alternative and general formalism for the frequency dependence of t
he spin-lattice relaxation time T1 of polymer liquids is derived on th
e basis of memory functions of polymer theories. As examples the origi
nal Rouse model [J. Chem. Phys. 21, 1272 (1953)] and the renormalized
Rouse model by Schweizer [J. Chem. Phys. 91, 5802 (1989)] are consider
ed. The results fit well the experimental data obtained for polydimeth
ylsiloxane (PDMS) melts and solutions by the field-cycling technique.
The Rouse model fits solutions and low-molecular-weight melts. The ren
ormalized Rouse model explains the peculiar nu0.25 dispersion of the s
pin-lattice relaxation time observed with PDMS melts at molecular weig
hts M(w) >> M(c).