This research paper delves into the thermodynamic properties and Joule-Thomson effects of an accelerated black hole with modified Maxwell electrodynamics in an anti-de Sitter regime. Further, we investigating the behavior of test particles’ null geodesics and the influence of electric and magnetic charges on these systems. Thermal fluctuations and corrected energies of slowly accelerated charged-anti de Sitter black holes are examined, alongside an analysis of the heat engine efficiency across the black hole’s horizon radius for various physical parameters, revealing a substantial impact of these parameters on efficiency. The study categorizes the behavior of the test particles around the innermost stable circular orbit radius for different physical parameters, identifying various orbit types based on the effective potential. We also explores corrected entropy, Helmholtz free energy, internal energy, enthalpy, and Gibbs free energy along the horizon radius for suitable values of the physical parameters. This research enhances our understanding of the thermodynamic behavior of accelerated charged-anti de Sitter black holes, shedding light on the intricate interplay between physical parameters and system properties, and offering valuable insights for further exploration and research in this field.
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