We show that the temperature rise in large ensembles of metal nanoparticles
under intense illumination is dominated by the temperature dependence of the
thermal conductivity of the host, rather than by the optical properties of the
metal or the host. This dependence typically causes the temperature rise to
become sublinear, with this photothermal nonlinear effect becoming unusually
strong, reaching even several tens of percent. We then show that this can
explain experimental observations in several recent plasmon-assisted
photocatalysis experiments. This shows that any claim for dominance of
non-thermal electrons in plasmon-assisted photocatalysis must account for this
photothermal nonlinear mechanism