412ba43936d838bc8074b014d3dbe180 pmc_30862077.pdf 9bb40d971cc79c3d2e250737002a7791d45d2f8e pmc_30862077.pdf b7e5cb330241236e66f279c7df87c379e880f19a98156b22ee2647e11abea55c pmc_30862077.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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げづびふぬぴびぜ〴ぜ〰ちのつぜ〴ぜ〰いどびっふびびどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮ㄩ‾㸊⡜㌷㙜㌷㝜〰ぐとはのはのびぜ〴ぜ〰どのぜ〴ぜ〰くふぴ〭はて〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰ぇひちばとどぴづぜ〴ぜ〰てひはねぜ〴ぜ〰きはぬづっふぬちひぜ〴ぜ〰いべのちねどっぜ〴ぜ〰こどねふぬちぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮㈩‾㸊⡜㌷㙜㌷㝜〰ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰〴〰〰ぜ〴ぜ〰のねぜ〴ぜ〰ごとどっにぜ〴ぜ〰こどぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮㌩‾㸊⡜㌷㙜㌷㝜〰ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰こど〺ぜ〴ぜ〰げづっはのびぴひふっぴどはのぜ〴ぜ〰ぢべぜ〴ぜ〰ぃとちのでどのでぜ〴ぜ〰ぴとづぜ〴ぜ〰ごとどっにのづびびぜ〴ぜ〰はてぜ〴ぜ〰ぴとづぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Children: Item: Title: ぐとはのはのびぜ〴ぜ〰どのぜ〴ぜ〰くふぴ〭はて〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰ぇひちばとどぴづぜ〴ぜ〰てひはねぜ〴ぜ〰きはぬづっふぬちひぜ〴ぜ〰いべのちねどっぜ〴ぜ〰こどねふぬちぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮㈩‾㸊⡜㌷㙜㌷㝜〰ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰〴〰〰ぜ〴ぜ〰のねぜ〴ぜ〰ごとどっにぜ〴ぜ〰こどぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮㌩‾㸊⡜㌷㙜㌷㝜〰ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰こど〺ぜ〴ぜ〰げづっはのびぴひふっぴどはのぜ〴ぜ〰ぢべぜ〴ぜ〰ぃとちのでどのでぜ〴ぜ〰ぴとづぜ〴ぜ〰ごとどっにのづびびぜ〴ぜ〰はてぜ〴ぜ〰ぴとづぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Item: Title: ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰〴〰〰ぜ〴ぜ〰のねぜ〴ぜ〰ごとどっにぜ〴ぜ〰こどぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㌮㌩‾㸊⡜㌷㙜㌷㝜〰ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰こど〺ぜ〴ぜ〰げづっはのびぴひふっぴどはのぜ〴ぜ〰ぢべぜ〴ぜ〰ぃとちのでどのでぜ〴ぜ〰ぴとづぜ〴ぜ〰ごとどっにのづびびぜ〴ぜ〰はてぜ〴ぜ〰ぴとづぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Item: Title: ぉの〭ぐぬちのづぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ごひちのびばはひぴぜ〴ぜ〰どのぜ〴ぜ〰こど〺ぜ〴ぜ〰げづっはのびぴひふっぴどはのぜ〴ぜ〰ぢべぜ〴ぜ〰ぃとちのでどのでぜ〴ぜ〰ぴとづぜ〴ぜ〰ごとどっにのづびびぜ〴ぜ〰はてぜ〴ぜ〰ぴとづぜ〴ぜ〰きづねぢひちのづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Item: Title: ぃはのっぬふびどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Item: Title: げづてづひづのっづび Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: RHMGMA+PazoMath-Italic FontSubset: true FirstChar: 97 LastChar: 122 FontDescriptor: FontName: RHMGMA+PazoMath-Italic Flags: Symbolic FontBBox: -70, -277, 902, 733 FontFile: true Font: BaseFont: GIGFZE+CMR10 FontSubset: true FirstChar: 40 LastChar: 61 FontDescriptor: FontName: GIGFZE+CMR10 Flags: Symbolic FontBBox: -40, -250, 1009, 750 FontFile: true Font: BaseFont: TGKZGM+CMSY10 FontSubset: true FirstChar: 0 LastChar: 107 FontDescriptor: FontName: 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