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.

• Periodical: Diffusion Foundations (Volume 1)
• Pages: 49-57
• DOI: https://doi.org/10.4028/www.scientific.net/DF.1.49
• Online since: April 2014
• Authors: Wolfgang Sprengel*, Masahiro Koiwa
• Keywords: Analysis, Boltzmann, Diffusion Coefficient, History, Matano

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