  We introduce a stochastic sandpile model where finite drive and dissipation
are coupled to the activity field. The absorbing phase transition here, as
expected, belongs to the directed percolation (DP) universality class. We focus
on the small drive and dissipation limit, i.e. the so-called self-organised
critical (SOC) regime and show that the system exhibits a crossover from
ordinary DP scaling to a dissipation-controlled scaling which is independent of
the underlying dynamics or spatial dimension. The new scaling regime continues
all the way to the zero bulk drive limit suggesting that the corresponding SOC
behaviour is only DP, modified by the dissipation-controlled scaling. We
demonstrate this for the continuous and discrete Manna model driven by noise
and bulk dissipation.
