Interface scaling in the contact process

A correspondence between lattice models with absorbing states and models of pinned interfaces in random media can be established by defining local height variables h(x,t) as integrals of the activity at point x up to time t. Within this context we study the interface representation of a prototypical model with absorbing states, thr contact process, in dimensions 1-3. Simulations confirm the scaling relation beta (W)=1-theta between the interface-width growth exponent beta (W) and the exponent theta governing the decay of the order parameter. A scaling property of the height distribution, which serves as the basis for this relation, is also verified. The height-height correlation function shows clear signs of anomalous scaling, In accord with Lopez analysis [Phys. Rev. Lett. 83, 4594 (1999)], but no evidence of multiscaling.