  Within a recently introduced model based on the bond-fluctuation dynamics we
study the viscoelastic behaviour of a polymer solution at the gelation
threshold. We here present the results of the numerical simulation of the model
on a cubic lattice: the percolation transition, the diffusion properties and
the time autocorrelation functions have been studied. From both the diffusion
coefficients and the relaxation times critical behaviour a critical exponent k
for the viscosity coefficient has been extracted: the two results are
comparable within the errors and are in close agreement with the Rouse model
prediction and with some experimental results. In the critical region below the
transition threshold the time autocorrelation functions show a long time tail
which is well fitted by a stretched exponential decay.

Soft Condensed Matter