2018/04/30 by Shan-Quan Lan, Gu-Qiang Li, Jie-Xiong Mo +1 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Charge (physics) #Critical exponent #Critical phenomena #Divergence (linguistics) #Noncommutative and Quantum Gravity Theories #Phase (matter) #Phase transition #Topological quantum number #Van der Waals equation #gr-qc #van der Waals force
paper · pdf · doi:10.1155/2019/8270265
published as Advances in High Energy Physics 2019,8270265 · 11 pages, 5 figures
openalex created_date 2018/04/24 · openalex publication_date 2019/01/02 · arxiv created 2019/02/27 · arxiv updated 2019/02/28 · openalex updated_date 2026/08/05
The topological charge <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>ϵ</mml:mi></mml:mrow></mml:math> of AdS black hole is introduced by Tian et al. in their papers, where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein-Maxwell theory. Firstly, we derive the explicit solutions corresponding to the divergence of specific heat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>ϵ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> and determine the phase transition critical point. Secondly, the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mi>r</mml:mi></mml:math> curve and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mi>S</mml:mi></mml:math> curve are investigated and they exhibit an interesting van der Waals system’s behavior. Critical physical quantities are also obtained which are consistent with those derived from the specific heat analysis. Thirdly, a van der Waals system’s swallow tail behavior is observed when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mi>ϵ</mml:mi><mml:mo>></mml:mo><mml:msub><mml:mrow><mml:mi>ϵ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math> in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mi>F</mml:mi><mml:mo>-</mml:mo><mml:mi>T</mml:mi></mml:math> graph. What is more, the analytic phase transition coexistence lines are obtained by using the Maxwell equal area law and free energy analysis, the results of which are consistent with each other.