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. © 2012 American Physical Society.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Escande, D. F., & Sattin, F. (2012). Calculation of transport coefficient profiles in modulation experiments as an inverse problem. Physical Review Letters, 108(12), -. https://doi.org/10.1088/0741-3335/37/8/001