Berlin 2015 – scientific programme

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 21: Polymer dynamics

CPP 21.5: Talk

Tuesday, March 17, 2015, 10:30–10:45, C 264

Relaxation of Semiflexible Polymers with Branching, Loops, and Dihedral Interactions — •Maxim Dolgushev — Theoretical Polymer Physics, University of Freiburg, Germany

This talk concentrates on recent advances in the mathematical-analytical theory of semiflexible polymers[1-3]. Based on the framework of semiflexible treelike polymers[4] as well as on its further extensions, the following results of new investigations will be presented:

(1) The study of the orientational relaxation of the single segments in semiflexible dendrimers [1]. Here, focusing on the NMR relaxation functions, it has been shown that including bending rigidity allows one to distinguish between segments for different dendrimer's shells, whereas the fully flexible model does not show such a feature.

(2) The basic model of Ref. [4] involves only angular restrictions. A next step forward is devoted to the investigation of the role of dihedral constraints. Remarkably, also in this, more complex situation one can obtain analytic results, as we show for linear chains [2].

(3) The semiflexibility constraints are introduced in a mean-field way [2,4], i.e. they do not reduce the number of degrees of freedom. However, for polymers with loops the closure conditions represent strict holonomic constraints. These can be taken into account based on the penalty function method [3].

[1] D.A. Markelov et al., J. Chem. Phys. 140, 244904 (2014).

[2] M. Dolgushev, A. Blumen, J. Chem. Phys. 138, 204902 (2013).

[3] M. Dolgushev et al., J. Chem. Phys. 141, 014901 (2014).

[4] M. Dolgushev, A. Blumen, J. Chem. Phys. 131, 044905 (2009).