Counter-ion condensation and system dimensionality.

摘要: Abstract Condensation of the counter-ions around a highly charged infinitely long cylindrical molecule, such as DNA, can be described in detail terms solutions Poisson-Boltzmann (Gouy-Chapman) equation. By using Alfrey-Berg-Morawetz (1951) solution this equation one show that certain fraction remain within finite distances poly-ion even when volume system is expanded indefinitely; these ions appropriately called “condensed”. The macromolecule's charge represented by just l-1/ξ, where ξ linear charge-density parameter macromolecule; also value given Manning's theory. question arises: Is property unique to infinite cylinder? Using same PB equation, we consider plane and large sphere for comparison. In case all are condensed above sense, not fraction, any surface c...