  We discuss the far-from-equilibrium evolution of $\phi^3$-theory in $1+1$
dimensions with the temporal functional renormalisation group
\cite{Gasenzer:2007za, Gasenzer:2010rq}. In particular, we show that this
manifestly causal approach leads to novel one-loop exact equations for fully
dressed correlation functions. Within this setup, we numerically compute the
dynamical propagator. Its behaviour suggests self-similarity far from
equilibrium in a restricted momentum regime. We discuss the scaling exponents
for our solution, as well as the numerical satisfaction of energy and particle
number conservation. We also derive a simple exact representation of the
expectation value of the energy-momentum tensor solely in terms of the
propagator.
