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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Statistics of polymer rings in the melt: a numerical simulation study
Thomas Vettorel1, Alexander Y Grosberg, Kurt Kremer
1Max Planck Institute for Polymer Research, 10 Ackermannweg, 55128 Mainz, Germany. vettorel@mpip-mainz.mpg.de
Physical Biology
|July 3, 2009
Summary
Topologically constrained polymer rings behave as compact objects, with their size scaling as N(1/3) for large chain lengths. This study models these systems to understand their static and dynamic properties.
Area of Science:
- Polymer physics
- Statistical mechanics
- Molecular modeling
Background:
- Topologically constrained molecular systems are crucial in physics and biology.
- Examples include polymer gel collapse and chromosome territories.
Purpose of the Study:
- To model melts of unconcatenated polymer rings.
- To investigate how topology influences static and dynamic properties of polymer rings.
Main Methods:
- Implemented an efficient, on-lattice Monte Carlo model.
- Utilized non-local moves for fast relaxation of polymer chains.
- Simulated large chain lengths (N) to observe significant topological effects.
Main Results:
- Sufficiently long polymer rings exhibit compact object behavior.
- Ring size scales as N(1/3) for large chain lengths.
- Entanglement length of linear counterparts characterizes topological constraints.
Conclusions:
- Polymer ring topology significantly impacts static properties.
- The study provides an estimate for the onset of compact ring behavior.
- Findings are relevant for understanding complex molecular systems.
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