The heat transport of (2D) disordered dielectric model systems in the
high-temperature regime is studied in two respects. Firstly, Lye find
that the heat conductivity due to hopping of localized phonons increas
es linearly with the temperature up to a ''saturated'' value, which em
erges at certain strengths of the coupling with the extended phonons.
Secondly, third- or fourth-order anharmonicity is shown to lower or en
hance the conductivity, respectively, which can be understood by weake
ning or strengthening of the stiffness of the bonds in the system.