English

Polymer depletion effects near mesoscopic particles

Soft Condensed Matter 2009-10-31 v1 Statistical Mechanics

Abstract

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a single particle in the solution is calculated explicitly. Important features are qualitatively different for self-avoiding polymer chains as compared with ideal chains. The results corroborate the validity of the Helfrich-type curvature expansion for general particle shapes and allow for quantitative experimental tests. For the effective interactions between a small sphere and a wall, between a thin rod and a wall, and between two small spheres quantitative results are presented. A systematic approach for studying effective many-body interactions is provided. The common Asakura-Oosawa approximation modelling the polymer coils as hard spheres turns out to fail completely for small particles and still fails by about 10% for large particles.

Keywords

Cite

@article{arxiv.cond-mat/9808225,
  title  = {Polymer depletion effects near mesoscopic particles},
  author = {A. Hanke and E. Eisenriegler and S. Dietrich},
  journal= {arXiv preprint arXiv:cond-mat/9808225},
  year   = {2009}
}

Comments

68 pages, 6 figures

R2 v1 2026-07-22T12:06:03.200Z