2018/06/30 by Yan-Gang Miao, Zhen-Ming Xu · 39 citations
Mathematics · Physics and Astronomy · #Amplitude #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Critical exponent #Critical phenomena #Critical point (mathematics) #Curvature #Einstein #Entropy (arrow of time) #Gauss #Gauss–Bonnet theorem #Geometry #Mathematical physics #Mathematics #Parametric statistics #Phase transition #Physics #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Statistical physics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.084051
published in Physical review. D/Physical review. D. 98(8) (American Physical Society) · v1: 18 pages, 1 figure, 1 table; v2: references added; v3: 20 pages, 2 figures, clarifications and references added, final version to appear in Physical Review D
arxiv created 2018/10/11 · openalex publication_date 2018/10/29 · arxiv updated 2018/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
With the help of the parametric solution of the Maxwell equal area law for the Gauss-Bonnet AdS black hole in five dimensions, we find the second analytical solution to the first order phase transition. We analyze the asymptotic behaviors of some characteristic thermodynamic properties for the small and large black holes at the critical and zero temperatures and also calculate the critical exponents and the corresponding critical amplitudes in detail. Moreover, we give the general form of the thermodynamic scalar curvature based on the Ruppeiner geometry and point out that the attractive interaction dominates in both the small and large black hole phases when the first order phase transition occurs in the five dimensional Gauss-Bonnet AdS black hole.