Revisiting the one-dimensional diffusive contact process

In this work we study the one- dimensional contact process with diffusion using two diff. erent approaches to estimate the critical properties of this model: the supercritical series expansion and finite size exact solution approaches. We place special emphasis on looking at the multicritical point and its crossover exponent that characterizes the passage between directed percolation and mean. field critical properties. This crossover occurs in the limit of in. nite diffusion rate and our results indicate that phi = 3 is a consistent result if one is sufficiently close to the multicritical point, although phi = 4 is the most frequent result for the curves in the region close, but not very close, to the multicritical point. This last result is consistent with the simulation data.