ON A REMARK OF DE GENNES CONCERNING THREE-DIMENSIONAL POLYELECTROLYTES

Authors

• Shiquan Li, University of RochesterFollow
• Carl Mueller, University of RochesterFollow

Abstract

This work is inspired by a remark of de Gennes [3] about polyelectrolytes, which are charged polymers. A common model for a polymer is a self-avoiding or self-repelling random walk or Brownian motion. For polyelectrolytes, the repelling potential is the Coulomb potential arising from pairs of charged particles. We show that in the continuous case of a Brownian motion in three dimensions, the spread of the polymer, in particular the radius of gyration of a polyelectrolyte of length T grows linearly with T, up to logarithmic corrections.

Recommended Citation

Li, Shiquan and Mueller, Carl (2026) "ON A REMARK OF DE GENNES CONCERNING THREE-DIMENSIONAL POLYELECTROLYTES," Journal of Stochastic Analysis: Vol. 7: No. 4, Article 1.
DOI: 10.31390/josa.7.4.01
Available at: https://repository.lsu.edu/josa/vol7/iss4/1

DOI

10.31390/josa.7.4.01