Thermodynamics of charged AdS black hole surrounded by quintessence in restricted phase space

We study thermodynamics of charged AdS black hole surrounded by quintessence in a new formalism which is called the restricted phase space thermodynamics.This context is based on Visser's holographic thermodynamics with a fixed antide Sitter radius and a variable Newton constant.The conjugate variables,central charge C and the chemical potential μ,are introduced as a new pair of thermodynamic variables.We find that the iso-e-charge T-S curve becomes non-monotonic when■ .Correspondingly,the F-T curve exhibits a swallow tail structure.This behavior is considered as a van der Waals-like phase transition.As the value of■ related to the energy density of Kiselev's fluid becomes larger,the critical temperature Tc will decrease.Thus,the van der Waals-like phase transition will occur at lower temperature.There is always a non-quilibrium transition from a small unstable black hole to a large stable black hole state in the isocoltage T-S process.There exist a maximum and a Hawking-Page phase transition points in the μ-C plane.As the value of b related to Kiselev's fluid becomes larger,the Hawking-Page phase transition will occur at lower temperature in the isovoltage μ-T process.For other values of the state parameter ω,there also exists van der Waals-like phase transition.