GUÉRIN, T.

doi:10.1103/PhysRevE.96.022501

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GUÉRIN, T.
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

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Physical Review E. 2017, vol. 96, n° 2, p. 022501

American Physical Society (APS)

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Estimating the probability that two monomers of the same polymer chain are close together is a key ingredient to characterize intramolecular reactions and polymer looping. In the case of stiff wormlike polymers (rigid fluctuating elastic rods), for which end-to-end encounters are rare events, we derive an explicit analytical formula for the probability η(r c) that the distance between the chain extremities is smaller than some capture radius r c. The formula is asymptotically exact in the limit of stiff chains, and it leads to the identification of two distinct scaling regimes for the closure factor, originating from a strong variation of the fluctuations of the chain orientation at closure. Our theory is compatible with existing analytical results from the literature that cover the cases of a vanishing capture radius and of nearly fully extended chains.< Réduire

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Analytical expressions for the closure probability of a stiff wormlike chain for finite capture radius

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