# Berlin 2005 – wissenschaftliches Programm

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# CPP: Chemische Physik und Polymerphysik

## CPP 29: POSTER: Polymer physics

### CPP 29.46: Poster

### Dienstag, 8. März 2005, 16:30–18:30, Poster TU D

**Dynamic Structure Factor of Constrained Polymer Chains** — •Strauch Michael and Straube Ekkehard — University of Halle, Department of Theoretical Physics, D-06099 Halle, GERMANY

The poster presents investigations concerning the analytical
calculation and numerical simulation of the dynamic structure factor
*S*_{q}(*t*) of polymer chains.

The dynamic structure factor for a network of chains with fixed
end-to-end distances is calculated strictly analytically. This
calculation was first done for the equilibrium end-to-end distance
*R*. An integration over distributions of end-to-end vectors in the
network gives an estimation of the influence of chain localisation on
*S*_{q}(*t*). – In agreement with plausible considerations, the dynamic
structure factor of the network reaches a finite plateau value rather
than zero for long times because the correlations between chain
segments do not completely vanish.

Additionally, an extension of a model originally introduced by
de Gennes is studied. In the original model, the dynamic
behaviour of the chain is calculated as a one-dimensional,
longitudinal diffusion along the primitive path being described as a
*random walk*. The effect of including transverse fluctuations is
studied.