Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Statistical mechanics of worm-like polymers from a new generating function.

Gustavo A Carri1, Marcelo Marucho

  • 1Maurice Morton Institute of Polymer Science, University of Akron, Akron, Ohio 44325-3909, USA. gac@uakron.edu

The Journal of Chemical Physics
|September 16, 2004
PubMed
Summary

This study introduces a new mathematical method for the worm-like chain model of semiflexible polymers. The approach provides exact analytical expressions for key polymer properties across all stiffness levels.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Electrical oscillations in microtubules.

Scientific reports·2025
Same author

Electrical Oscillations in Microtubules.

bioRxiv : the preprint server for biology·2025
Same author

Dynamic and electrophoretic light scattering measurements on microtubules at low concentrations.

PloS one·2024
Same author

In vitro Preparation of Homogenous Actin Filaments for Dynamic and Electrophoretic Light Scattering Measurements.

Bio-protocol·2022
Same author

CACPPAF, a COMSOL application to characterize polyelectrolyte properties of actin filaments.

SoftwareX·2022
Same author

Hydrodynamic and Polyelectrolyte Properties of Actin Filaments: Theory and Experiments.

Polymers·2022

Area of Science:

  • Polymer Physics
  • Materials Science
  • Mathematical Modeling

Background:

  • The worm-like chain (WLC) model is crucial for describing semiflexible polymers.
  • Existing models often struggle with exact constraints and broad applicability.
  • Accurate modeling is essential for understanding polymer behavior in various applications.

Purpose of the Study:

  • To develop a novel mathematical framework for the WLC model.
  • To derive exact analytical expressions for key polymer properties.
  • To provide a unified approach applicable to polymers of varying stiffness and length.

Main Methods:

  • Development of a novel generating function for the WLC model.
  • Derivation of analytical expressions for characteristic function, polymer propagator, structure factor, and mean square end-to-end distance.

Related Experiment Videos

  • Focus on the lowest order contribution to the generating function.

    • Main Results:

    • Exact analytical expressions derived for key WLC model properties.
    • The method accurately captures both fully flexible and infinitely stiff polymer limits.
    • Smooth crossover behavior is achieved for intermediate polymer stiffness.
    • Results show excellent quantitative agreement with existing WLC models.

    Conclusions:

    • The presented mathematical approach offers a robust and versatile tool for WLC model analysis.
    • This method precisely handles local inextensibility constraints.
    • The findings advance the understanding and modeling of semiflexible polymers.