We investigate a new interpretation for the Navier-Stokes corrections
to the hydrodynamic equation of asymmetric interacting particle system
s. We consider a system that starts from a measure associated with a p
rofile that is constant along the drift direction. We show that under
diffusive scaling the macroscopic behavior of the process is described
by a nonlinear parabolic equation whose diffusion coefficient coincid
es with the diffusion coefficient of the hydrodynamic equation of the
symmetric version of the process.