Enhanced frustration and forbidden zones in a system of two mutually entangled SeSPs

We present the results of a molecular dynamics-based study of a pair of entangled, Brownian Superellipse sector particles (SeSPs) to study the dynamics that arise from mutual entanglement as particle shape is systematically varied. SeSPs comprise a class of particle shapes with continuous variation of angularity, convexity, and aspect ratio. Previous work has investigated the space of allowable configurations in a system of two hard-particle SeSPs, revealing distinct classes of entangled and mutually-entangled configurations. This preliminary work suggests that transitions between the classes of entanglement become frustrated by a topological change in the configuration space as the particle shape is varied from open to closed. We explore the possible existence of a glasslike phase transition related to the topological change observed in the pairwise configuration space for SeSPs.