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The disorder function formalism [Gunaratne et.al., Phys. Rev. E, {\bf 57},5146 (1998)]^M is used to show that pattern relaxation in an experiment on avibrated layer of brass beads^M occurs in three distinct stages. During stageI, all lengthscales associated with ^M moments of the disorder grow at a singleuniversal rate, given by $L(t) \sim t^{0.5}$. In stage II, pattern evolution isnon-universal and includes a range of growth indices. Relaxation in the finalstage is characterized by a single, non-universal index. We use analysis ofpatterns from the Swift-Hohenberg equation to argue that mechanisms thatunderlie the observed pattern evolution are linear spatio-temporal dynamics(stage I), non-linear saturation (stage II), and stochasticity (stage III)

Stages of relaxation of patterns and the role of stochasticity in the final stage