Thermodynamics and its generalized uncertainty principle correction of the charged hayward black hole

In this paper, we study the thermodynamic properties of the charged Hayward black hole. For the nonsingular black hole, we calculate its temperature, entropy, and heat capacity. The corrected first law of black hole thermodynamics is used, and a simple method to determine the correction factor in the corrected first law is provided. It is found that, unlike the case when using the usual first law of black hole thermodynamics, the black hole temperature derived from the corrected first law matches that obtained from the surface gravity and tunneling methods. The obtained heat capacity indicates that the regular black hole may be thermodynamically stable. Additionally, we prove that within the framework of the corrected first law, the horizon radius corresponding to the extreme temperature of the black hole is exactly equal to the horizon radius corresponding to the divergence point of the heat capacity. Furthermore, the quantum corrections from the generalized uncertainty principle for the temperature, entropy, and heat capacity of the regular black hole are analyzed. The obtained quantum-corrected entropy includes a logarithmic term and reduces to the Bekenstein–Hawking area law when quantum effects are neglected.