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

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

1999-12-09

arxiv.org/abs/cond-mat/9912162v2

Physics

Condensed Matter

Statistical Mechanics

22 pages, 5 figures, LaTeX: references added

Scientific paper

10.1103/PhysRevE.62.799

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.

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