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Tokamaks confine plasma using a strong magnetic field in a toroidal geometry, trapping the charged particles that constitute the plasma. In a first approximation, plasma particles follow these magnetic field lines, and the field's behavior dictates the system's dynamics. However, electric fields and inhomogeneities in the magnetic field induce drifts that cause particle orbits to deviate from the field lines. To investigate the impact of these drifts on plasma dynamics, we derived two distinct area-preserving maps—one representing the field lines and the other the drifted particle orbits. Both maps are based on a Hamiltonian description of the system and were derived using the same method, allowing for a direct comparison of the transport characteristics in both scenarios.