  Direct numerical simulations of homogeneous decaying turbulence with mild
background rotation show the existence of a systematic and significant
imbalance between the non-linear energy cascade to small scales and its
dissipation. By starting the decay from a statistically stationary and fully
developed rotating turbulence state, where the dissipation and the energy flux
are approximately equal, the data shows a growing imbalance between the two
until a maximum is reached when the dissipation is about twice the energy flux.
This dichotomy of behaviours during decay is reminiscent of the non-equilibrium
and the equilibrium regions previously reported for non-rotating turbulence
[P.C. Valente, J.C. Vassilicos, Phys. Rev. Lett. {\bf 108} 214503 (2012)].
Note, however, that for decaying rotating turbulence the classical scaling of
the dissipation rate $\epsilon \propto u'^3/L$ (where $u'$ and $L$ are the root
mean square fluctuating velocity and the integral length scale, respectively)
does not appear to hold during decay, which may be attributed to the effect of
the background rotation on the energy cascade. On the other hand, the maximum
energy flux holds the scaling $\Pi_{max} \propto u'^3/L$ in the initial stage
of the decay until the maximum imbalance is reached.
