We analyse the steady-state regime of a one-dimensional Ising model under a
tapping dynamics recently introduced by analogy with the dynamics of mecha
nically perturbed granular media. The idea that the steady-state regime may
be described by a Rat measure over metastable states of fixed energy is te
sted by comparing various steady-state time-averaged quantities in extensiv
e numerical simulations with the corresponding ensemble averages computed a
nalytically with this flat measure. The agreement between the two averages
is excellent in all the cases examined, showing that a static approach is c
apable of predicting certain measurable properties of the steady-state regi
me.