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The shape of pinned forced polymer loops
Wenwen Huang1, Vasily Zaburdaev
1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, D-01187 Dresden, Germany. vzaburd@pks.mpg.de.
Soft Matter
|February 13, 2019
Summary
We developed a theory to analyze polymer loop shapes under external forces. The polymer loop
Area of Science:
- Polymer Physics
- Soft Matter Physics
- Theoretical Chemistry
Background:
- Polymer loops are fundamental structures in both synthetic and biological systems.
- Understanding their conformational properties under external fields is crucial.
Purpose of the Study:
- To develop an analytical theory for characterizing polymer loop shapes under an external force field.
- To provide methods for calculating polymer density, gyration radius, and their distributions.
Main Methods:
- Analytical theory development.
- Calculation of polymer density and gyration radius.
- Analysis of the gyration tensor and derived shape parameters (asphericity).
Main Results:
- The theory allows for the calculation of polymer density and gyration radius.
- A non-monotonic behavior in the gyration radius distribution was observed as a function of external force.
- The gyration tensor analysis provides insights into the overall shape of the polymer loop.
Conclusions:
- Asphericity and the nature of asphericity, alongside the gyration radius, can quantitatively describe polymer loop shapes.
- These parameters are valuable for both theoretical modeling and experimental validation.
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