Following an earlier study regarding Einstein–
Gauss–Bonnet-massive black holes in the presence of a
Born–Infeld nonlinear electromagnetic field (Hendi,
arXiv:1510.00108, 2016), we study thermodynamical structure and critical behavior of these black holes through various methods in this paper. Geometrical thermodynamics is
employed to give a picture regarding the phase transition of
these black holes. Next, a new method is used to derive critical pressure and radius of the horizon of these black holes.
In addition, Maxwell equal area law is employed to study the
Van der Waals like behavior of these black holes. Moreover,
the critical exponents are calculated and by using Ehrenfest
equations, the type of phase transition is determined
کلید واژگان :
Gauss–Bonnet–Born–Infeld massive gravity, black holes, Phase transtions, Geomrtro thermodynamics
