Geodesic structure and thermodynamic properties of Finsler–Bardeen black holes surrounded by quintessence

In this paper, we investigate the geodesic structure and thermodynamic properties of a Finsler–Bardeen black hole surrounded by quintessence. The spacetime geometry incorporates nonlinear electrodynamics through the magnetic charge Q and a quintessence field characterized by the normalization parameter c and the equation-of-state parameter ω. A Finsler deformation parameter γ introduces anisotropic corrections to the standard Riemannian geometry. Using the Lagrangian formalism, the equations of motion for test particles are derived, and the effective potential governing circular motion is analyzed. We examine the influence of the model parameters on the specific energy, angular momentum, and radius of the innermost stable circular orbit (ISCO). In addition, the thermodynamic properties of the black hole are studied by evaluating the Hawking temperature, enthalpy, entropy, heat capacity, and Gibbs free energy. The results demonstrate that the combined effects of Finsler deformation, magnetic charge, and quintessence significantly modify orbital stability and thermodynamic behavior compared to the standard Bardeen black hole.