Regensburg 2019 – wissenschaftliches Programm
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 67: Polymer and Molecular Dynamics, Friction and Rheology
CPP 67.4: Vortrag
Freitag, 5. April 2019, 10:30–10:45, H13
Cyclization and relaxation dynamics of finite-length collapsed self-avoiding polymers — •Julian Kappler1,2, Frank Noé1, and Roland R. Netz1 — 1Freie Universität Berlin, 14195 Berlin, Germany — 2Cambridge University, Cambridge CB3 0WA, United Kingdom
The loop formation kinetics of polymers governs the dynamics of protein folding and gene expression regulation. The quantity of main interest is the cyclization time τcyc, i.e. the mean time it takes the two polymer ends to find each other. We study the cyclization and relaxation dynamics of ideal as well as interacting polymers as a function of chain length N. For the cyclization time of ideal chains we recover the known scaling τcyc ∼ N2, for a self-avoiding slightly collapsed chain we obtain from Langevin simulations and scaling theory a modified scaling τcyc ∼ N5/3. The cyclization and relaxation dynamics of a finite-length collapsed chain scale differently; this unexpected dynamic multi-scale behavior is rationalized by the crossover between swollen and collapsed chain behavior.