Hawking-Page phase transitions between the thermal anti-de Sitter vacuum and charged black holes surrounded by quintessence are studied in the extended phase space. The quintessence field, with the state parameter , modifies the temperature and the Gibbs free energy of a black hole. The phase transition temperature and the Gibbs free energy are first analytically investigated for the special case of , and then, the results of numerical simulations are shown for general . The phase transition temperature increases with pressure and decreases with electric potential. In addition, significantly decreases owing to the quintessence field, which generates negative pressure around the black hole.
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Yan et al. (2020) studied this question.
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