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Updated: May 11, 2026
06:55
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Comment on "Equilibrium conformation of polymer chains with noncircular cross section"
Alexander Gerhardt-Bourke1, Ngamta Thamwattana
1School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, New South Wales 2522, Australia.
Summary
This comment corrects erroneous Euler-Lagrange equations used in general equilibrium analysis. New numerical results are presented using the accurate equations for improved scientific understanding.
Area of Science:
- Physics
- Applied Mathematics
Background:
- The Euler-Lagrange equations are fundamental in physics and applied mathematics.
- Zhao et al. (2006) utilized specific formulations of these equations, referred to as general equilibrium equations, in their work.
Discussion:
- This comment identifies critical errors in the Euler-Lagrange equations as presented by Zhao et al.
- The derivation of equations from the incorrect Euler-Lagrange formulation is also flawed.
Key Insights:
- Correct Euler-Lagrange equations for general equilibrium are provided.
- New numerical results validate the corrected equations.
Outlook:
- Accurate equations will enhance future research in general equilibrium systems.
- This work ensures the integrity of theoretical frameworks in related scientific fields.
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