On the behaviour of short Kratky-Porod chain
نویسنده
چکیده
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 . † Dedicated to the 60th birthday of Professor Lothar Schäfer On the behaviour of short Kratky-Porod chain 2
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Statistics and Dynamics of Stiff Chains
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