  Diffusive transport is characterized by the scaling law
$(length)^{2}\propto(time)$. In this letter we show that this relationship is
significantly altered in curved analogue spacetimes. This circumstance provides
an opportunity to tailor diffusion: by a suitable design of the analogue
metric, it is possible to create materials where diffusion is either faster or
slower than in normal media, as desired. This prediction can in principle be
tested experimentally with optical analogues, curved graphene sheets, etc. -
indeed with any analogue spacetime.
