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Elastic traits of the extensible discrete wormlike chain model
Alessandro Fiasconaro1, Fernando Falo1
1Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain and Instituto de Biocomputación y Física de Sistemas Complejos, Universidad de Zaragoza, Zaragoza, Spain.
Physical Review. E
|March 18, 2023
Summary
This study presents new analytical formulas for polymer physics, accurately calculating the end-to-end distance of extensible polymers under force. These formulas improve elastic parameter accuracy for semiflexible extensible polymers.
Area of Science:
- Polymer Physics
- Soft Matter Physics
- Computational Physics
Background:
- Polymer models are crucial for understanding long molecule physics.
- Interpreting experimental measurements requires accurate polymer models.
- Existing phenomenological formulas for polymer elasticity have limitations.
Purpose of the Study:
- To calculate the end-to-end distance of an extensible discrete wormlike chain polymer under applied force.
- To develop new analytical formulas that generalize existing phenomenological approaches.
- To provide a tool for fitting experimental data of semiflexible extensible polymers.
Main Methods:
- Numerical evaluation using the transfer matrix formalism for exact partition function calculation.
- Analytical derivation of generalized formulas for polymer elasticity.
- Comparison of analytical results with numerical calculations and experimental data.
Main Results:
- Developed accurate analytical formulas for the end-to-end distance of extensible polymers.
- The derived formulas provide an effective approximation to numerical calculations.
- Elastic parameters obtained from fitting experimental data show improved accuracy.
Conclusions:
- The new analytical formulas are suitable for fitting experimental data of semiflexible extensible polymers.
- The accuracy of elastic parameter determination is significantly improved over a wide range of chain extensibility.
- This work offers a more precise method for analyzing polymer elastic properties.
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