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Multivalent counterions can induce an effective attraction betweenlike-charged rodlike polyelectrolytes, leading to the formation ofpolelectrolyte bundles. In this paper, we calculate the equilibrium bundle sizeusing a simple model in which the attraction between polyelectrolytes (assumedto be pairwise additive) is treated phenomenologically. If the counterions arepoint-like, they almost completely neutralize the charge of the bundle, and theequilibrium bundle size diverges. When the counterions are large, however,steric and short-range electrostatic interactions prevent charge neutralizationof the bundle, thus forcing the equilibrium bundle size to be finite. We alsoconsider the possibility that increasing the number of nearest neighbors foreach rod in the bundle frustrates the attractive interaction between the rods.Such a frustration leads to the formation of finite size bundles as well, evenwhen the counterions are small.Comment: 4 pages, 2 figures; v2: typos corrected, references added, minor  changes made to conten

Equilibrium bundle size of rodlike polyelectrolytes with counterion-induced attractive interactions