REMNANT PERCOLATIVE DISORDER IN HIGHLY-CURED NETWORKS

We have previously reported viscoelastic measurements demonstrating th at fully-cured networks and critical gels exhibit similar relaxation s pectra, implying that fully-cured networks are somewhat ill-connected. Here, we present restricted valence percolation simulations of networ ks well beyond the percolation transition that explicitly display remn ant disorder over length scales less than the correlation length of th e network. We conclude that the topology of highly-cured networks is n ot well described by a regular three-dimensional ''tennis net'' but is ill-connected over length scales that correspond to relaxation modes of practical interest.