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Constant temperature molecular dynamics simulations were used to studysolutions of flexible polyelectrolyte chains at nonzero concentrations withexplicit counterions and unscreened coulombic interactions. Counterioncondensation, measured via the self-diffusion coefficient of the counterions,is found to increase with polymer concentration, but contrary to the predictionof Manning theory, the renormalized charge fraction on the chains decreaseswith increasing Bjerrum length without showing any saturation. Scaling analysisof the radius of gyration shows that the chains are extended at low polymerconcentrations and small Bjerrum lengths, while at sufficiently large Bjerrumlengths, the chains shrink to produce compact structures with exponents smallerthan a gaussian chain, suggesting the presence of attractive intrachaininteractions. A careful study of the radial distribution function of thecenter-of-mass of the polyelectrolyte chains shows clear evidence thateffective interchain attractive interactions also exist in solutions offlexible polyelectrolytes, similar to what has been found for rodlikepolyelectrolytes. Our results suggest that the broad maximum observed inscattering experiments is due to clustering of chains.Comment: 12 pages, REVTeX, 15 eps figure

Inter- and intrachain attractions in solutions of flexible polyelectrolytes at nonzero concentration