title: Calculation of transport coefficient profiles in modulation experiments as an inverse problem.
abstract: The calculation of transport profiles from experimental measurements belongs in the category of inverse problems which are known to come with issues of ill-conditioning or singularity. A reformulation of the calculation, the matricial approach, is proposed for periodically modulated experiments, within the context of the standard advection-diffusion model where these issues are related to the vanishing of the determinant of a 2×2 matrix. This sheds light on the accuracy of calculations with transport codes, and provides a path for a more precise assessment of the profiles and of the related uncertainty.
authors.affiliation: UMR 6633 CNRS-Université de Provence, Marseille, France.
authors.forename: D F
authors.initials: DF
authors.lastname: Escande
authors.forename: F
authors.initials: F
authors.lastname: Sattin