  Quantum work capacitances and maximal asymptotic work/energy ratios are
figures of merit characterizing the robustness against noise of work extraction
processes in quantum batteries formed by collections of quantum systems. In
this paper we establish a direct connection between these functionals and,
exploiting this result, we analyze different types of noise models mimicking
self-discharging, thermalization and dephasing effects. In this context we show
that input quantum coherence can significantly improve the storage performance
of noisy quantum batteries and that the maximum output ergotropy is not always
achieved by the maximum available input energy.
