The Decisive Contributions by L. Boltzmann and C. Matano to the Quantitative Analysis of Diffusion Phenomena

Wolfgang Sprengel; Masahiro Koiwa

doi:10.4028/www.scientific.net/DF.1.49

The Decisive Contributions by L. Boltzmann and C. Matano to the Quantitative Analysis of Diffusion Phenomena

Wolfgang Sprengel^*, Masahiro Koiwa

^*Corresponding author for this work

Institute of Materials Physics (5170)

Research output: Contribution to journal › Article › peer-review

Abstract

The origin of the analysis of concentration dependent diffusivities in solids is closely related to a method nowadays referred to as the Boltzmann-Matano method. This chapter recalls the scientific environment of the emergence of this method first described in a paper by C. Matano in 1933. The unique contributions by L. Boltzmann as well as by C. Matano, who were active in completely different scientific fields at different times, are presented. Some specific aspects related to the Boltzmann-Matano method are critically reviewed.

Original language	English
Pages (from-to)	49-57
Journal	Diffusion Foundations
Volume	1
DOIs	https://doi.org/10.4028/www.scientific.net/DF.1.49
Publication status	Published - 2014

Fields of Expertise

Advanced Materials Science

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10.4028/www.scientific.net/DF.1.49

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title = "The Decisive Contributions by L. Boltzmann and C. Matano to the Quantitative Analysis of Diffusion Phenomena",

abstract = "The origin of the analysis of concentration dependent diffusivities in solids is closely related to a method nowadays referred to as the Boltzmann-Matano method. This chapter recalls the scientific environment of the emergence of this method first described in a paper by C. Matano in 1933. The unique contributions by L. Boltzmann as well as by C. Matano, who were active in completely different scientific fields at different times, are presented. Some specific aspects related to the Boltzmann-Matano method are critically reviewed.",

author = "Wolfgang Sprengel and Masahiro Koiwa",

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AB - The origin of the analysis of concentration dependent diffusivities in solids is closely related to a method nowadays referred to as the Boltzmann-Matano method. This chapter recalls the scientific environment of the emergence of this method first described in a paper by C. Matano in 1933. The unique contributions by L. Boltzmann as well as by C. Matano, who were active in completely different scientific fields at different times, are presented. Some specific aspects related to the Boltzmann-Matano method are critically reviewed.

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DO - 10.4028/www.scientific.net/DF.1.49

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EP - 57

JO - Diffusion Foundations

JF - Diffusion Foundations

ER -

The Decisive Contributions by L. Boltzmann and C. Matano to the Quantitative Analysis of Diffusion Phenomena

Abstract

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