  Cosmic strings with small-scale structure have a coarse-grained mass per unit
length $\mu$ which is larger than the string tension. This leads to an
effective Newtonian gravitational line source and to a characteristic
translational velocity which is smaller than for strings without small-scale
structure. Here, the accretion of hot dark matter onto such strings is studied
by means of the Zel'dovich approximation. We find that clustering is greatly
enhanced by the Newtonian line source. In the limit of vanishing translational
velocity, the first nonlinear filaments form at a redshift of greater than 100
for standard values of $\mu$.
