Berlin 2005 – scientific programme

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AKB: Biologische Physik

AKB 100: Poster Session I

AKB 100.25: Poster

Saturday, March 5, 2005, 16:45–18:45, Poster TU D

On the behaviour of short Kratky-Porod chain — •Semjon Stepanow — Martin-Luther-Universität Halle, Fachbereich Physik, D-06099

Using the exact computation of a large number of moments of the end-to-end distribution function 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. Using this procedure we have derived the short chain expansion of the distribution function of the end-to-end distance, the structure factor, 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.