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This study presents an investigation into the thermodynamic properties of adirty black hole immersed in a uniform electric field within the framework ofthe Einstein-Nonlinear Electrodynamics (ENE)-dilaton theory. The analysisdelves into various thermodynamic aspects, including heat capacity, Helmholtzfree energy, and internal energy, providing insights into the behavior of theblack hole under the influence of the electric field. Furthermore, the articleexplores the intricate interplay between quantum effects and thermodynamicbehavior through the examination of quantum-corrected entropy. The study aimsto shed light on the non-perturbative corrections that arise in this complexsystem, offering a comprehensive understanding of the modified thermodynamicsof dirty black holes within the specified theoretical framework.

Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes