We consider a stochastic partial differential equation (Swift-Hohenberg
equation) on the real axis with periodic boundary conditions that arises in
pattern formation. If the trivial solution is near criticality, and if the stochastic
forcing and the deterministic (in)stability are of a comparable magnitude,
a so called stochastic Landau equation can be derived in order to describe
the dynamics of the bifurcating solutions. Here we establish attractivity and
approximation results for this equation.