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- Boltzmann-Matano_analysis abstract "The Boltzmann-Matano method is used to convert the partial differential equation resulting from Fick's law of diffusion into a more easily solved ordinary differential equation, which can then be applied to calculate the diffusion coefficient as a function of concentration.Ludwig Boltzmann worked on Fick's second law to convert it into an ordinary differential equation, whereas Chujiro Matano performed experiments with diffusion couples and calculated the diffusion coefficients as a function of concentration in metal alloys. Specifically, Matano proved that the diffusion rate of A atoms into a B atom crystal lattice is a function of the amount of A atoms already in the B lattice.The importance of the classic Boltzmann-Matano method consists in the ability to extract diffusivities from concentration-distance data. These methods, also known as inverse methods, have both proven to be reliable, convenient and accurate with the assistance of modern computational techniques.".
- Boltzmann-Matano_analysis wikiPageID "20616237".
- Boltzmann-Matano_analysis wikiPageLength "9101".
- Boltzmann-Matano_analysis wikiPageOutDegree "12".
- Boltzmann-Matano_analysis wikiPageRevisionID "663877685".
- Boltzmann-Matano_analysis wikiPageWikiLink Adolf_Eugen_Fick.
- Boltzmann-Matano_analysis wikiPageWikiLink Annealing_(metallurgy).
- Boltzmann-Matano_analysis wikiPageWikiLink Category:Diffusion.
- Boltzmann-Matano_analysis wikiPageWikiLink Chain_rule.
- Boltzmann-Matano_analysis wikiPageWikiLink Chujiro_Matano.
- Boltzmann-Matano_analysis wikiPageWikiLink Ficks_laws_of_diffusion.
- Boltzmann-Matano_analysis wikiPageWikiLink Ludwig_Boltzmann.
- Boltzmann-Matano_analysis wikiPageWikiLink Mass_diffusivity.
- Boltzmann-Matano_analysis wikiPageWikiLink Ordinary_differential_equation.
- Boltzmann-Matano_analysis wikiPageWikiLink Parabola.
- Boltzmann-Matano_analysis wikiPageWikiLink Partial_differential_equation.
- Boltzmann-Matano_analysis wikiPageWikiLink Triviality_(mathematics).
- Boltzmann-Matano_analysis wikiPageWikiLinkText "Boltzmann-Matano analysis".
- Boltzmann-Matano_analysis wikiPageWikiLinkText "Boltzmann-Matano method".
- Boltzmann-Matano_analysis wikiPageWikiLinkText "Boltzmann-Matano solution".
- Boltzmann-Matano_analysis wikiPageUsesTemplate Template:Reflist.
- Boltzmann-Matano_analysis subject Category:Diffusion.
- Boltzmann-Matano_analysis comment "The Boltzmann-Matano method is used to convert the partial differential equation resulting from Fick's law of diffusion into a more easily solved ordinary differential equation, which can then be applied to calculate the diffusion coefficient as a function of concentration.Ludwig Boltzmann worked on Fick's second law to convert it into an ordinary differential equation, whereas Chujiro Matano performed experiments with diffusion couples and calculated the diffusion coefficients as a function of concentration in metal alloys. ".
- Boltzmann-Matano_analysis label "Boltzmann-Matano analysis".
- Boltzmann-Matano_analysis sameAs Q17005294.
- Boltzmann-Matano_analysis sameAs m.051zjc5.
- Boltzmann-Matano_analysis sameAs Q17005294.
- Boltzmann-Matano_analysis wasDerivedFrom Boltzmann-Matano_analysis?oldid=663877685.
- Boltzmann-Matano_analysis isPrimaryTopicOf Boltzmann-Matano_analysis.