On the behaviour of short Kratky-Porod chain

Details On the behaviour of short Kratky-Porod chain On the behaviour of short Kratky-Porod chain

2004-12-22

arxiv.org/abs/cond-mat/0412617v2

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 2 figures, revised manuscript

Scientific paper

10.1088/0953-8984/17/20/009

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 $N$.

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