Joule-Thomson expansion, thermal fluctuations, and geodesic deviations of magnetically charged AdS black hole

In this paper, we investigate the thermodynamic and dynamic properties of a magnetically charged-Ads black hole, defined by mass, magnetic charge, and a nonlinear electrodynamics coupling parameter. Additionally, by analyzing the modified metric function, we investigated critical conditions, including phase transitions and the Joule-Thomson expansion, and identified distinct cooling (μ J > 0) and heating (μ J < 0) regimes that are influenced by magnetic charge and coupling parameter. Also, the study incorporates higher-order quantum corrections to entropy, revealing their impact on thermodynamic stability and phase structure. Additionally, we examine radial geodesics and tidal forces and illustrate how the interaction between magnetic charge, coupling parameter, and the cosmological constant affects particle dynamics near the black hole. In this context, our results show new information on the influence of nonlinear electrodynamics and quantum effects in black hole thermodynamics and spacetime geometry, and give more information about AdS black holes in extended phase space.