Distribution Function of the End-to-End Distance of Semiflexible Polymers
J. K. Bhattacharjee, D. Thirumalai, and J. D. Bryngelson
TL;DR
This paper derives a simple, accurate expression for the distribution of end-to-end distances in semiflexible polymers, validated by simulations and moments, enhancing understanding of polymer conformations.
Contribution
The paper introduces a meanfield-like approach to calculate the distribution function of semiflexible polymers, providing a simple formula that matches simulation results.
Findings
Excellent agreement with Monte Carlo simulations
Accurate moments in both coil and rod limits
Simplified expression for practical use
Abstract
The distribution function of the end-to-end distance of a semiflexible polymer, G(R;L) (where R denotes the end-to-end distance and L the contour length), is calculated using a meanfield-like approach. The theory yields an extremely simple expression for G(R;L) which is in excellent agreement with Monte Carlo simulations. The second and fourth moments of G(R;L) agree with exact results for a semiflexible polymer in both the random coil and the rod limit.
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Taxonomy
TopicsHistory and advancements in chemistry