On the behaviour of short Kratky-Porod chain

Abstract

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 $N$.

10 pages, 2 figures, revised manuscript

References in corpus (4)

• Elasticity of semi-flexible polymers
• Triple minima in free energy of semiflexible polymers
• The distribution function of a semiflexible polymer and random walks with constraints
• Statistical mechanics of semiflexible polymers

Cited by in corpus (3)

• Scattering function of semiflexible polymer chains under good solvent conditions
• Bimodal distribution function of a 3d wormlike chain with a fixed orientation of one end
• Neural Network Model for Structure Factor of Polymer Systems