2018/05/31 by Shan-Quan Lan · 4 citations
Physics and Astronomy · #AdS black hole #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Canonical ensemble #Charge (physics) #Charged black hole #Electric charge #Noncommutative and Quantum Gravity Theories #Phase diagram #Phase transition #Topological quantum number #gr-qc
paper · pdf · doi:10.1155/2018/4350287
published in Advances in High Energy Physics 2018, 1-10 (Hindawi Publishing Corporation) · 18 pages, 5 figures
openalex created_date 2018/05/07 · openalex publication_date 2018/12/11 · arxiv created 2019/02/27 · arxiv updated 2019/02/28 · openalex updated_date 2026/08/05
Phase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi mathvariant="normal">ϵ</mml:mi></mml:mrow></mml:math>. We obtain the extended thermodynamic first law from which the mass is naturally viewed as enthalpy rather than internal energy. In canonical ensemble with fixed topological charge and electric charge <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:math>, interesting van der Waals like oscillatory behavior in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mi>S</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi>P</mml:mi><mml:mo>-</mml:mo><mml:mi>V</mml:mi></mml:math> graphs and swallow tail behavior in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mi>G</mml:mi><mml:mo>-</mml:mo><mml:mi>T</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mi>G</mml:mi><mml:mo>-</mml:mo><mml:mi>P</mml:mi></mml:math> graphs is observed. By applying the Maxwell equal area law and analysing the Gibbs free energy, we obtain analytical phase transition coexistence curves which are consistent with each other. The phase diagram is four dimensional with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M7"><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>P</mml:mi><mml:mo>,</mml:mo><mml:mi>Q</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ϵ</mml:mi></mml:math>.