Various maps which preserve phase space volume are constructed and investigated to determine the effects of curvature drift on runaway electron losses. Radial curvature drift is found to increase stochasticity via aspect ratio induced sideband perturbations unless the magnetic field perturbations are sufficiently localized in the radial direction. Poloidal curvature drift is never seen to reduce stochasticity for realistic parameters because it cannot be isolated from the radial drift induced sideband perturbations.
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