2013/04/14 by Hernando Quevedo, María N. Quevedo, Alberto Sanchez +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Canonical ensemble #Cosmology and Gravitation Theories #Entropy (arrow of time) #Galaxies: Formation, Evolution, Phenomena #Legendre polynomials #Material properties #Mathematics #Metric (unit) #Monte Carlo method #Phase transition #Physics #Quantum mechanics #Statistical ensemble #Statistical physics #Thermodynamic beta #Thermodynamic databases for pure substances #Thermodynamic limit #Thermodynamic potential #Thermodynamic process #Thermodynamic system #Thermodynamics #gr-qc
paper · pdf · doi:10.1088/0031-8949/89/8/084007
14 pages, no figures
arxiv created 2013/04/14 · openalex publication_date 2014/07/11 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the dependence of the thermodynamic properties of black holes on the choice of statistical ensemble for a particular class of Einstein-Maxwell-Gauss-Bonnet black holes with the cosmological constant.We use partial Legendre transformations in the thermodynamic limit in order to compare the results in different ensembles, and show that the phase transition structure depends on the choice of thermodynamic potential.This result implies that thermodynamic metrics that are partially Legendre invariant cannot be employed to describe black hole thermodynamics, and partly explains why a particular thermodynamic metric has been used so far in the framework of black hole geometrothermodynamics.