Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole. (27th June 2013)

• Record Type: Journal Article
• Authors: Han, Yiwen; Zeng, XiaoXiong
• Other Names: Quevedo Hernando Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2013(2013)
• Publication Date: 2013-06-27
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2013/865354
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : We first review Weinhold information geometry and Ruppeiner information geometry of 3D charged-dilaton black hole. Then, we use the Legendre invariant to introduce a 2-dimensional thermodynamic metric in the space of equilibrium states, which becomes singular at those points. According to the analysis of the heat capacities, these points are the places where phase transitions occur. This result is valid for the black hole, therefore, provides a geometrothermodynamics description of black hole phase transitions in terms of curvature singularities.