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Statistical Behaviors of Semiflexible Polymer Chains Stretched in Rectangular Tubes
1Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, Gansu, China. jzwang@lzu.edu.cn.
Polymers
|April 10, 2019
Summary
We derived new formulas for semiflexible polymer chains under force and confinement. These formulas accurately describe chain behavior across a wider range of conditions than previous models.
Area of Science:
- Polymer Physics
- Statistical Mechanics
- Soft Matter Physics
Background:
- Semiflexible polymer chains exhibit complex statistical behaviors under external forces and confinement.
- Existing models, like the wormlike chain model and Odijk deflection theory, have limitations in describing these behaviors across various conditions.
Purpose of the Study:
- To develop novel, accurate formulas for the confinement free energy and force-confinement-extension relationships of semiflexible polymer chains.
- To extend the validity range of theoretical descriptions for confined polymers.
Main Methods:
- Derivation of a new deflection length based on the wormlike chain model and Odijk deflection theory.
- Validation through numerical solutions of the Fokker-Planck governing equation.
- Confirmation via extensive Brownian dynamics simulations using the generalized bead-rod (GBR) model.
Main Results:
- New compact formulas for confinement free energy and force-confinement-extension relations were obtained.
- The derived formulas demonstrate validity over an extended range of confinement size to persistence length ratios.
- The new formulas exhibit no adjustable fitting parameters for sufficiently long chains in the entire deflection regime.
Conclusions:
- The developed theoretical framework provides a more robust description of semiflexible polymer chains under combined force and confinement.
- These findings offer improved predictive capabilities for polymer behavior in confined environments, relevant to nanotechnology and biophysics.
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