International Journal of Physics | Vol. 1, No. 5, May 2010 | pp. 33–40
Research Article
Title: Thermodynamic Stability of Charged Black Holes in Extended Anti-de Sitter Space
Names of Authors: L. M. Zhou¹, M. N. Wang², N. O. Zhang¹
Authors’ Affiliations: ¹Department of Physics, Peking University, Beijing, China; ²Center for Field Theory and Particle Physics, Fudan University, Shanghai, China
Abstract: We explore the thermodynamics and phase transition structure of Reissner-Nordström-anti-de Sitter black holes by treating the cosmological constant as thermodynamic pressure P = -Lambda / (8 × pi). By computing the state equation V = (4 / 3) × pi × r_+³ and Gibbs free energy G(T, P), we locate the small-large black hole phase transition analogous to the liquid-gas system, noting a critical point at T_c = 0.123 / r_+ and P_c = 0.011 / r_+². The calculated critical compressibility factor Z_c = P_c × v_c / (R_g × T_c) equals 3/8, universally matching the Van der Waals fluid model. Heat capacity evaluations at constant charge C_Q show stable thermodynamic phases for horizons exceeding the inflection radius r_inf = root(6, Q²). Topological analysis via Ruppeiner geometry confirms scalar curvature divergence R_rup at the coexistence curve, reflecting underlying microscopic molecular interactions of the gravitational background.
Keywords: Black hole thermodynamics, Anti-de Sitter space, Phase transition, Critical phenomena, Ruppeiner geometry
Manuscript Timeline: Received 10 February 2010, Revised 12 March 2010, Accepted 25 March 2010, Published 03 May 2010
Citation: Zhou, L. M., Wang, M. N., & Zhang, N. O. (2010). Thermodynamic Stability of Charged Black Holes in Extended Anti-de Sitter Space. International Journal of Physics, 1(5), 33–40. DOI: 10.46882/2010/IJP/000005
Subscribe to read the full article: https://internationalscholarsjournals.org/subscribe-to-read