End-to-end distribution function of stiff polymers for all persistence lengths.
2005
We set up recursion relations for calculating all even moments of the end-to-end distance of Porod-Kratky wormlike chains in $D$ dimensions. From these moments we derive a simple analytic expression for the end-to-end distribution in three dimensions valid for all peristence lengths. It is in excellent agreement with Monte Carlo data for stiff chains and approaches the Gaussian random-walk distributions for low stiffness.
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