Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble

Abstract

Considering a grand canonical ensemble, we study the phase structures and transitions of RN black holes surrounded by quintessence dark energy on two different boundary conditions, namely AdS space and a Dirichlet wall. For AdS space, under the condition of fixed temperature and potential, as the temperature increases for lower potential, the black hole undergoes a first-order phase transition, while for higher potential, no phase transition occurs. There are two different regions in the parameter space. For the Dirichlet wall, on which the temperature and potential are fixed and the state parameter of quintessence $\omega =-2/3$ is analyzed in detail. Then, three different physically allowed regions in the parameter space of the black hole are well studied. As the temperature rises, a first-order phase transition and a second-order phase transition may occur. In this case, there are nine regions in the parameter space, which is obviously distinct from the case of AdS space.

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• Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes
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• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• Thermodynamics and phase transition of BTZ black hole in a cavity
• AdS Black Brane Solution Surrounded by Quintessence in Massive Gravity and KSS Bound
• EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter
• Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity
• Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions