  This study presents an investigation into the thermodynamic properties of a
dirty black hole immersed in a uniform electric field within the framework of
the Einstein-Nonlinear Electrodynamics (ENE)-dilaton theory. The analysis
delves into various thermodynamic aspects, including heat capacity, Helmholtz
free energy, and internal energy, providing insights into the behavior of the
black hole under the influence of the electric field. Furthermore, the article
explores the intricate interplay between quantum effects and thermodynamic
behavior through the examination of quantum-corrected entropy. The study aims
to shed light on the non-perturbative corrections that arise in this complex
system, offering a comprehensive understanding of the modified thermodynamics
of dirty black holes within the specified theoretical framework.
