2011/06/16 by J. Fernando Barbero G., Eduardo J. S. Villaseñor · 16 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boltzmann's entropy formula #Canonical ensemble #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Joint quantum entropy #Mathematics #Microcanonical ensemble #Monte Carlo method #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum mechanics #Statistical physics #Statistics #Thermodynamic limit #gr-qc
paper · pdf · open access · doi:10.1088/0264-9381/28/21/215014
published in Classical and Quantum Gravity 28(21), 215014 (IOP Publishing) · 23 pages, 3 figures
arxiv created 2011/06/16 · openalex publication_date 2011/09/23 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the thermodynamic limit in the canonical area ensemble used in loop quantum gravity to model quantum black holes. The computation of the thermodynamic limit is the rigorous way to obtain a smooth entropy from the counting entropy given by a direct determination of the number of microstates compatible with macroscopic quantities (the energy in standard statistical mechanics or the area in the framework presented here). As we will show in specific examples the leading behavior of the smoothed entropy for large horizon areas is the same as the counting entropy but the subleading contributions differ. This is important because these corrections determine the concavity or convexity of the entropy as a function of the area. Communicated by A Corichi