End-to-End Distribution Function
B. Hamprecht, W. Janke, H. Kleinert
TL;DR
This paper derives an exact analytical expression for the end-to-end distribution of a two-dimensional stiff polymer by solving a recursion relation for its moments, applicable across all persistence lengths.
Contribution
It introduces a novel recursive approach to compute moments and provides a comprehensive analytic distribution function for the wormlike chain model.
Findings
Derived a recursion relation for even moments of the polymer
Obtained a simple analytic expression for the distribution function
Applicable to all persistence lengths
Abstract
We set up and solve a recursion relation for all even moments of a two-dimensional stiff polymer (Porod-Kratky wormlike chain) and determine from these moments a simple analytic expression for the end-to-end distribution at all persistence lengths.
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Taxonomy
TopicsSimulation Techniques and Applications