Regensburg 2016 – wissenschaftliches Programm

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 36: Complex Fluids and Colloids V (joint session BP/CPP/DY, organized by DY)

CPP 36.10: Vortrag

Mittwoch, 9. März 2016, 12:30–12:45, H47

Two and three dimensional shapes of simple three and four junction comb polymers — Marvin Bishop¹, Adam J. Barillas¹, Tylor Borgeson¹, •Robin de Regt², and Christian von Ferber² — ¹Departments of Computer Science and Mathematics, Manhattan College, NY, USA — ²Applied Mathematics Research Centre, Coventry University, UK

We redesign and apply a scheme originally proposed by G. Wei [Physica A 222, 155 (1995)] to produce numerical shape parameters with high precision for arbitrary tree-branched polymers based on their Kirchhoff matrix eigenvalue spectrum. This algorithm and a Monte Carlo growth method on square and triangular lattices are employed to investigate the shapes of ideal three and four junction two dimensional comb polymers. We find that the extrapolated values obtained by all of these methods are in excellent agreement with each other and the available theory. We confirm that polymers with a complete set of interior branches display a more circular (resp. spherical) shape.