  The quantum adiabatic theorem is a fundamental result in quantum mechanics,
which has a multitude of applications, both theoretical and practical. Here, we
investigate the dynamics of adiabatic processes for interacting quantum
many-body systems by analysing the properties of observable-free, intensive
quantities. In particular, we study the rate function $f(T)$ in dependence of
the ramp time $T$, which gives us a complete characterization of the many-body
adiabatic fidelity as a function of $T$ and the strength of the parameter
displacement $\Delta \lambda$. This allows us to control and define the notion
of adiabaticity in many-body systems. Several key results in the literature
regarding the interplay of the thermodynamic and the adiabatic limit are
obtained as inferences from the properties of $f(T)$ in the large $T$ limit.
