Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: I. Statics
arXiv:1104.5653 · doi:10.1063/1.3587137
Abstract
Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which corresponds to roughly 57 entanglement lengths for comparable linear polymers. For the rings, the radius of gyration squared was found to scale as N to the 4/5 power for an intermediate regime and N to the 2/3 power for the larger rings indicating an overall conformation of a crumpled globule. However, almost all beads of the rings are "surface beads" interacting with beads of other rings, a result also in agreement with a primitive path analysis performed in the following paper (DOI: 10.1063/1.3587138). Details of the internal conformational properties of the ring and linear polymers as well as their packing are analyzed and compared to current theoretical models.
15 pages, 14 figures
References in corpus (9)
- Equilibration of Long Chain Polymer Melts in Computer Simulations
- Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: II. Dynamics
- What is the Entanglement Length in a Polymer Melt ?
- Topological effects in ring polymers: A computer simulation study
- Intramolecular long-range correlations in polymer melts: The segmental size distribution and its moments
- Long Range Bond-Bond Correlations in Dense Polymer Solutions
- Topological effects in ring polymers (II): Influence of persistence length
- Static Properties of Polymer Melts in Two Dimensions
- On two intrinsic length scales in polymer physics: topological constraints vs. entanglement length
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