Critical points of regular black hole with Gauss-Bonnet effected entropy

Thermodynamics of the new type of regular black hole associated with the cosmological constant in nonlinear electrodynamics has been investigated here. Using the modified entropy in the presence of Gauss-Bonnet coupling, the thermodynamics quantities including Hawking temperature, the first law of thermodynamics, equation of state as well as Gibbs free energy have been explored. Further, we have studied an interesting aspect of Hawking-Page phase transitions for such a black hole. Also, temperature-Gibbs free energy has been plotted against horizon radius to check the phase transitions. We use the isothermal compressibility and heat capacity to find the critical exponents and thermal stability.

Automated summary

The thermodynamics of a new type of regular black hole associated with the cosmological constant in nonlinear electrodynamics has been explored. The study investigates various thermodynamic quantities such as Hawking temperature, the first law of thermodynamics, equation of state, and Gibbs free energy using the modified entropy with Gauss-Bonnet coupling. Additionally, the study explores the interesting aspect of Hawking-Page phase transitions for this black hole and examines the phase transitions using the temperature-Gibbs free energy plot.