English

Partitioning of a polymer chain between two confining cavities: the role of electrostatic interactions

Statistical Mechanics 2016-08-31 v2 Soft Condensed Matter

Abstract

A recently developed lattice field theory approach to the statistical mechanics of charged polymers in electrolyte solutions [S. Tsonchev, R. D. Coalson, and A. Duncan, Phys. Rev. E {\bf{60}}, 4257, (1999)] is generalized to the case where ground-state dominance in the polymer's Green's function does not apply. The full mean-field equations for the system are derived and are shown to possess a unique solution. The approach is applied to the problem of a charged Gaussian polymer chain confined to move within the region defined by two fused spheres. The failure of the notion of ground-state dominance under certain conditions even in the limit of large number of monomers is demonstrated.

Keywords

Cite

@article{arxiv.cond-mat/9912162,
  title  = {Partitioning of a polymer chain between two confining cavities: the role of electrostatic interactions},
  author = {S. Tsonchev and R. D. Coalson and A. Duncan},
  journal= {arXiv preprint arXiv:cond-mat/9912162},
  year   = {2016}
}

Comments

22 pages, 5 figures, LaTeX: references added