  The recently proposed Langevin equation, aimed to capture the relevant
critical features of stochastic sandpiles, and other self-organizing systems is
studied numerically. This equation is similar to the Reggeon field theory,
describing generic systems with absorbing states, but it is coupled linearly to
a second conserved and static (non-diffusive) field. It has been claimed to
represent a new universality class, including different discrete models: the
Manna as well as other sandpiles, reaction-diffusion systems, etc. In order to
integrate the equation, and surpass the difficulties associated with its
singular noise, we follow a numerical technique introduced by Dickman. Our
results coincide remarkably well with those of discrete models claimed to
belong to this universality class, in one, two, and three dimensions. This
provides a strong backing for the Langevin theory of stochastic sandpiles, and
to the very existence of this new, yet meagerly understood, universality class.
