Statistical Mechanics of Charged Polymers in Electrolyte Solutions: A Lattice Field Theory Approach

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dc.creatorCoalson, R. D.
dc.creatorDuncan, A.
dc.creatorTsonchev, S.
dc.date1999-02-24
dc.date.accessioned2026-07-07T03:12:52Z
dc.date.available2026-07-07T03:12:52Z
dc.descriptionThe lattice field theory approach to the statistical mechanics of a classical Coulomb gas [R. Coalson and A. Duncan, J. Chem. Phys. 97,5653(1992)] is generalized to include charged polymer chains. Saddle-point analysis is done on the functional integral representing the partition function of the full system. Mean-field level analysis requires extremization of a real-valued functional with a single minimum, thus guaranteeing a unique solution. The full mean-field equations for such a coupled system are derived, as well as the leading (one-loop) fluctuation corrections. Two different numerical real-space lattice procedures are developed to implement the generalized theory; these are applied to the problem of a charged polymer confined to a spherical cavity in an electrolyte solution. The results provide new insight into the physics of confined polyelectrolytes.
dc.description25 pages, 13 figures, Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/9902325
dc.identifierhttp://arxiv.org/abs/cond-mat/9902325
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29082
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.titleStatistical Mechanics of Charged Polymers in Electrolyte Solutions: A Lattice Field Theory Approach
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