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Ascertain convergence of simulated parallel diffusion coefficients

Ascertain whether, in the weak slab and composite turbulence setups considered, the parallel diffusion coefficient computed from full-orbit simulations has converged to a constant value, and determine appropriate convergence diagnostics or runtime requirements.

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Background

To compare methods against quasi-linear theory (QLT), the authors use QLT to estimate scattering times rather than simulation-derived parallel diffusion coefficients. They explicitly note uncertainty about convergence of the simulation-derived coefficients despite long runtimes, implying a need for robust criteria to judge convergence in practice.

References

In Sec.~\ref{subsec:BM1} and Sec.~\ref{subsec:BM2}, we use the predicted parallel diffusion coefficient from QLT (Eq.~\ref{eq:MFP_QLT}) to calculate the parallel scattering time, not the parallel diffusion coefficient from the simulation itself, as it is unclear if it already converged to a constant value, despite using a long run time.

An Evaluation of Different Numerical Methods to Calculate the Pitch-angle Diffusion Coefficient from Full-orbit Simulations: disentangling a rope of sand (2410.21001 - Berg et al., 28 Oct 2024) in Section 4 (Comparison of Methods), prefatory text to Sections 4.1 and 4.2