Shadow thermodynamics of the Hayward-AdS black hole

In this paper,the phase structure of the Hayward-anti-de Sitter(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 the 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 whereas 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.It implies that the BH shadow may be used to investigate the thermodynamics of the Hayward-AdS BH.