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We consider analytically as well as numerically the finite-size scalingbehavior in the stationary state near the non-equilibrium phase transition ofdirected percolation within the mean field regime, i.e., above the uppercritical dimension. Analogous to equilibrium, usual finite-size scaling isvalid below the upper critical dimension, whereas it fails above. Performing amomentum analysis of associated path integrals we derive modified finite-sizescaling forms of the order parameter and its higher moments. The results areconfirmed by numerical simulations of corresponding high-dimensional latticemodels.Comment: 4 pages, one figur

Finite-size scaling of directed percolation above the upper critical dimension