Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.68: Poster

Donnerstag, 29. März 2007, 16:00–18:00, Poster D

On the behaviour of short Kratky-Porod chain — •Semjon Stepanow — Universität Halle, Institut für Physik, 06099 Halle

Using the exact computation of a large number of moments of the distribution function of the end-to-end distance G(r,N) of the worm-like chain, we have established the analytical form of the coefficients in Taylor expansions of the moments for short chain lengths N. The knowledge of these coefficients enabled us to resummate the moment expansion of G(r,N) by taking into account consecutively the deviations of the moments from their stiff rod limit. Within this procedure we have derived the short-chain expansion for G(r,N), the scattering function, and the extension-force relation, which take into account the deviations of the moments from their stiff rod limit to the seventh order in N.