  In this paper, the phase structure of the Hayward-AdS black hole (BH) is
studied using shadow formalism. It has been found that the shadow radius is a
monotonic function of the horizon radius and can therefore play an equivalent
role to the horizon radius in characterizing the thermodynamics of Hayward-AdS
BH. The thermodynamic phase transition (PT) of the Hayward-AdS BH is
investigated with the shadow radius. It is shown that as the magnetic charge
increases, the shadow radius becomes larger, while the coexistence temperature
becomes lower. The thermal profile of the Hayward-AdS BH is established by
combining the temperature diagram and the shadow cast diagram, which shows that
for a fixed magnetic charge, the temperature of the Hayward-AdS BH increases
with the pressure while the region of the thermal profile decreases with the
pressure. In particular, the temperature of the Hayward-AdS BH follows an
N-type change trend when it is smaller than the critical temperature. This
imply that the BH shadow may be used to investigate the thermodynamics of the
Hayward-AdS BH.
