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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 57: Polymer Dynamics and Rheology (joint session CPP/DY, organized by CPP)

CPP 57.4: Talk

Thursday, March 10, 2016, 15:45–16:00, H40

Contact Kinetics in Fractal Macromolecules — •Maxim Dolgushev¹, Thomas Guérin², Alexander Blumen¹, Olivier Bénichou³, and Raphaël Voituriez³ — ¹Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany — ²Université de Bordeaux and CNRS, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, 33400 Talence, France — ³Laboratoire de Physique Théorique de la Matière Condensée, CNRS/UPMC, 4 Place Jussieu, 75005 Paris, France

We investigate the effect of the complex connectivity of macromolecules on the contact kinetics by focusing on the case of fractal macromolecules [1]. In our theoretical description, the non-Markovian feature of monomer motion, arising from the interactions with the other monomers, is captured by accounting for the non-equilibrium conformations of the macromolecule at the very instant of first contact. This analysis reveals a scaling relation for the Mean First Contact Time as a function of the equilibrium distance between the reactive monomers and of the spectral dimension of the macromolecule, which is independent on the microscopic details of the macromolecules. We show that the non-Markovian effects increase for the structures with higher degree of hyperbranching, for which the conformations at first contact are getting much more different from equilibrium looping conformations. Our theoretical predictions are in excellent agreement with numerical stochastic simulations.

[1] M. Dolgushev, T. Guérin, A. Blumen, O. Bénichou, and R. Voituriez, Phys. Rev. Lett. 115, 208301 (2015).