We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic ...We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic pressure, It is shown that there will be no phase transition if k = 0 or -1 are taken. When the charge ql of the conformal field and the coefficient α satisfy a certain relation, the van de Waals like phase transition for the spherical black hole can occur where the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of the phase transitions and find that the thermodynamic exponents associated with this four-dimensional AdS black hole coincide with those of the van de Waals fluid.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11275099 and 11475135
文摘We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic pressure, It is shown that there will be no phase transition if k = 0 or -1 are taken. When the charge ql of the conformal field and the coefficient α satisfy a certain relation, the van de Waals like phase transition for the spherical black hole can occur where the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of the phase transitions and find that the thermodynamic exponents associated with this four-dimensional AdS black hole coincide with those of the van de Waals fluid.
