Cyclization kinetics of Gaussian semiflexible polymer chains

T Guérin (1) , M Dolgushev (2) , O Bénichou (3) , R Voituriez (3) , A Blumen (2)

1 LOMA - Laboratoire Ondes et Matière d'Aquitaine
2 Theoretical Polymer Physics
3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

We consider the dynamics and the cyclization kinetics of Gaussian semiflexible chains, in which the interaction potential tends to align successive bonds. We provide asymptotic expressions for the cyclization time, for the eigenvalues and eigenfunctions, and for the mean square displacement at all time and length scales, with explicit dependence on the capture radius, on the positions of the reactive monomers in the chain, and on the finite number of beads. For the cyclization kinetics, we take into account non-Markovian effects by calculating the distribution of reactive conformations of the polymer, which are not taken into account in the classical Wilemski-Fixman theory. Comparison with numerical simulations confirms the accuracy of this non-Markovian theory. DOI: 10.1103/PhysRevE.90.052601 PACS number(s): 82.35.−x, 05.40.−a

Mots clés: properties; Polymers; Nonlinear dynamics and chaos; polymerization; reactions

Domaines: Chimie-Physique [physics.chem-ph]

T Guérin, M Dolgushev, O Bénichou, R Voituriez, A Blumen. Cyclization kinetics of Gaussian semiflexible polymer chains. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90 (5), pp.052601 (1-10). ⟨10.1103/PhysRevE.90.052601⟩. ⟨hal-01103320⟩