Thermodynamic implications of perturbed entropy in 5D black holes under thermal fluctuations

We examine a five-dimensional black hole within the context of Einstein–Yang–Mills gravity, exploring how microscopic thermal fluctuations, characterized by logarithmic entropy corrections, affect its fundamental thermodynamic quantities such as energy, work capacity and responsiveness to temperature and pressure variations. Employing specific heat capacity as a probe, we conduct a comprehensive stability analysis to identify potential phase transitions, revealing the remarkable stability of the black hole even with logarithmic entropy corrections. These findings provide valuable insights into the thermodynamic behavior of higher-dimensional black holes within the context of [Formula: see text] gravity.