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43923-AC7
Transitional Properties of a Polymer Chain
Sergei Obukhov, University of Florida
Grant Supported Activities for the first year has resulted in
two publications, one paper accepted to Nature Materials and two oral
presentations.
It was shown, that the
structure properties of a polymer chain immersed in solution of similar polymer
chains (melt) can not be treated as a classical random walk. Following Flory's
ideality hypothesis, chains in the melt adopt Gaussian configurations, and their
form factor is supposed to be given by Debye's formula. At striking variance to
this, we obtain noticeable (up to 20%) non-monotonic deviations which can be
traced back to the incompressibility of dense polymer solutions beyond a local
scale. The Kratky plot (q2F(q) vs wave vector q) does not exhibit the plateau
expected for Gaussian chains in the intermediate q range. One rather
finds a significant decrease according to the correction in
F-1(q) as q3/32ρ that
only depends on the concentration ρ of the solution, but neither on the
persistence length or the interaction strength. The non-analyticity of the above
q3 correction is linked to the existence of long-range
correlations for collective density fluctuations that survive screening.
Finite-chain size effects are found to decay with chain length N as 1/√N.
These deviations from ideality should be measurable by neutron scattering
experiments. An experimental verification would be of great fundamental
interest; it could also delineate the conditions where the predicted corrections
to ideality can be observed in real polymer systems and must be considered in
understanding their structure, phase behavior, and dynamics. Such an impact on
structure and dynamics is expected theoretically, for the bulk and also for thin
polymer films.
We studied the static and
dynamic properties of a polymer melt in a confined geometry -- nanopores whose diameter was comparable with the size of a
polymer coil. It was shown that the non ideal corrections are amplified due to
confinement. The dynamics undergoes dramatic change. The Poiseuille's description of flow of polymer melt in a
capillary and new picture is introduced, based on individual reptation dynamics
of a single polymer.
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