Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 60: Statistical Physics in Biological Systems III
DY 60.4: Talk
Friday, April 5, 2019, 10:45–11:00, H3
Structures and Dynamics of Growing Semi-Flexible Polymer Chains — •Jörn Appeldorn and Reiner Kree — Inst. f. Theo. Physik, Univ. Göttingen, Friedrich-Hund Pl. 1, 37077 Göttingen
Numerous studies have investigated both, the conformational dynamics of semi-flexible polymer chains with fixed length and the dynamics of the chemical growth separately. Here, we study the combined effects, if both processes are characterized by comparable time scales.
We consider irreversible chain growth of a Gaussian semi-flexible polymer with growth laws < N (t) > = ( tτ0 )α characterized by a power law exponent 0 < α ≤ 1.1. In particular, we study the end-to-end distance, mean square radius of gyration, mean square displacement of monomers, and center of mass position.
Results are obtained from numerical simulations using a modified Brownian dynamics algorithm, which makes use of the exact solvability of the Gaussian dynamics and allows us to perform simulations on very long timescales.
For small growth parameters, the polymer chains reach their equilibrium state in between the growth events for all bending stiffnesses. With increasing α, the conformational properties are influenced by the chemical growth and the polymer chains never reach their equilibrium state. The resulting non-stationary properties are systematically studied as a function of ν and α .