412ba43936d838bc8074b014d3dbe180 nanomaterials_a2019v9n414p-Final.pdf 9bb40d971cc79c3d2e250737002a7791d45d2f8e nanomaterials_a2019v9n414p-Final.pdf b7e5cb330241236e66f279c7df87c379e880f19a98156b22ee2647e11abea55c nanomaterials_a2019v9n414p-Final.pdf Title: Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond Subject: The understanding of the mean free path (MFP) distribution of the energy carriers in materials (e.g., electrons, phonons, magnons, etc.) provides a key physical insight into their transport properties. In this context, MFP spectroscopy has become an important tool to describe the contribution of carriers with different MFP to the total transport phenomenon. In this work, we revise the MFP reconstruction technique and present a study on the impact of the regularization parameter on the MFP distribution of the energy carriers. By using the L-curve criterion, we calculate the optimal mathematical value of the regularization parameter. The effect of the change from the optimal value in the MFP distribution is analyzed in three case studies of heat transport by phonons. These results demonstrate that the choice of the regularization parameter has a large impact on the physical information obtained from the reconstructed accumulation function, and thus cannot be chosen arbitrarily. The approach can be applied to various transport phenomena at the nanoscale involving carriers of different physical nature and behavior. Keywords: mean free path reconstruction; mean free path distribution of phonons; thermal conductivity distribution Author: Miguel-Ángel Sanchez-Martinez, Francesc Alzina, Juan Oyarzo, Clivia M. 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