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As one of candidate theories in the construction of regular black holes,Einstein's gravity coupled with nonlinear electrodynamics has been a topic ofgreat concerns. Owing to the coupling between Einstein's gravity and nonlinearelectrodynamics, we need to reconsider the first law of thermodynamics, whichwill lead to a new thermodynamic phase space. In such a phase space, theequation of state accurately describes the complete phase transition process ofregular black holes. The Maxwell equal area law strictly holds when the phasetransition occurs, and the entropy obeys the Bekenstein-Hawking area formula,which is compatible with the situation in Einstein's gravity.

Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics