  Non-linear current voltage characteristics of a disordered Luttinger liquid
are calculated using a perturbative formalism. One finds non-universal power
law characteristics of the form $I(V)\sim V^{1/(2\tilde{g}-1)}$ which is valid
both in the superfluid phase when $I$ is small and also in the insulator phase
when $I$ is large. Mesoscopic voltage fluctuations are also calculated. One
finds $\Var(\Delta V) \sim I^{4\tilde{g}-3}$. Both the $I(V)$ characteristic
and the voltage fluctuations exhibit universal power law behavior at the
superfluid insulator transition where $\tilde{g}=\tot$. The possible
application of these results to the non-linear transport properties of gated
Hall bars is discussed.
