Current theories on the conformation and dynamics of unknotted non-concatenated ring polymers in melt conditions describe each as a tree-like double-folded object. While evidence from simulations supports this picture single level, other works show pairs rings also thread other, feature overlooked tree theories. Here we reconcile dichotomy using Monte Carlo melts with different bending rigidities. We find that are (more strongly for stiffer rings)

The viscous flow of polymer chains in dense melts is dominated by topological constraints whenever the single-chain contour length, N, becomes larger than characteristic scale Ne, defining comprehensively macroscopic rheological properties highly entangled systems. Even though they are naturally connected to presence hard like knots and links within chains, difficulty integrating rigorous language mathematical topology with physics has limited somehow a genuine approach problem classifying...

We present an in-depth multiscale analysis of the conformations and dynamics polar active polymers, comparing very dilute dense conditions. unveil characteristic length time scales, common to both systems, that recapitulate conformational dynamical properties these polymers upon varying polymer size strength activity. Specifically, we find a correlation (or looping) characterizes monomer dynamics. Instead, center mass can be fully characterized by end-to-end mean-square distance associated...

We present computer simulations of a dynamic Monte Carlo algorithm for polymer chains on fcc lattice which explicitly takes into account the possibility to overcome topological constraints by controlling rate at nearby strands may cross through each other. By applying method systems interacting ring polymers melt conditions, we characterize their structure and dynamics measuring, in particular, amounts knots links are formed during relaxation process. In comparison with standard melts...

We present an in-depth multi-scale analysis of the conformations and dynamics polar active polymers, comparing very dilute dense conditions. unveil characteristic length time scales, common to both systems, that recapitulate conformational dynamical properties these polymers upon varying polymer size strength activity. Specifically, we find a correlation (or looping) characterises monomer dynamics. Instead, center mass can be fully characterised by end-to-end mean-square distance associated...

The viscous flow of polymer chains in dense melts is dominated by topological constraints whenever the single chain contour length, N, becomes larger than characteristic scale Ne, defining comprehensively macroscopic rheological properties highly entangled systems. Even though latter are naturally connected to presence hard like knots and links within chains, difficulty integrating rigorous language mathematical topology with physics has limited somehow a genuine approach problem classifying...

We present Monte Carlo computer simulations for melts of semiflexible randomly knotted and concatenated ring polymers on the fcc lattice in slit confinement. Through systematic variation width at fixed melt density, we first explore influence confinement single-chain conformations inter-chain interactions. demonstrate that makes chains globally larger more elongated, while enhancing both contacts knottedness propensities. As multi-chain properties, show ring-ring decrease with confinement,...

We present Monte Carlo computer simulations for melts of semiflexible randomly knotted and concatenated ring polymers on the fcc lattice in slit confinement. Through systematic variation width at fixed melt density, we explore influence confinement single-chain conformations interchain interactions. demonstrate that makes chains globally larger more elongated while enhancing both contacts knottedness propensities. As multichain properties, show ring-ring decrease with confinement, yet...