Kinetic growth of polyelectrolytes: Long-range true self-avoiding walks

A long-range interacting 1/Vertical BarrVertical Bar/sup ω/ true self-avoiding walk is introduced. A Flory argument gives the scaling exponent ν = 2/(ω+2) for the end-to-end distance. For a Coulomb interaction this yields ν = 2/d, which implies that four is the upper critical dimension for growing polyelectrolytes. A Monte Carlo simulation is consistent with this conclusion