The P-v Criticality of a Noncommutative Geometry-Inspired Schwarzschild-AdS Black Hole

• 来源期刊: 中国物理快报（英文版）
• 关键词: @@
• 年，卷（期）: 2017,（8）
• 页码范围: 25-28
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/34/8/080402

摘要

The P-v criticality and phase transition in the extended phase space of a noncommutative geometry-inspired Schwarzschild black hole in anti-de Sitter (AdS) spacetime are studied.The cosmological constant is treated as a dynamical pressure and its conjugate quantity is thermodynamic volume of the noncommutative geometryinspired Schwarzschild-AdS black hole.The noncommutative parameter is also treated as a variable,and as a consequence,a new thermodynamic quantity Vθ conjugate to Pθ =-(8πθ)-1 has to be defined further,which is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.We find that the P-v criticality and the small black hole/large black hole phase transition appear for the noncommutative Schwarzschild-AdS black hole.Numerical calculations indicate that the noncommutative parameter θ affects the phase transition as well as the critical temperature Tc,horizon radius r+c and pressure Pc.However,the critical ratio Pcr+c/Tc is universal (independent of θ),which is very similar to the result in the van de Waals liquid gas system,but different from that in the noncommutative geometry-inspired Reissner-Nordstr(o)m-AdS black hole,where the critical ratio is no longer universal.