Diffusion Fundamentals (E-Journal)
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Photon correlation spectroscopy for the characterization of diffusion processes in fluid mixtures and particulate systems
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Interactions and exchange processes as driving forces of social development in ancient Palestine
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Diffusion in Cauchy Elastic Solid
Get PDFIt is commonly accepted that a starting point of the science of diffusion is the phenomenological diffusion equation postulated by German physiologist Adolf Fick inspired by experiments on diffusion by Thomas Graham and Robert Brown. Fick’s diffusion equation has been interpreted decades later by Albert Einstein and Marian Smoluchowski. Here we will show that the theory of diffusion has its elegant mathematical foundations formulated three decades before Fick by French mathematician Augustin Cauchy (~1822). The diffusion equation is straightforward consequence of his model of the elastic solid - the classical balance equations for isotropic, elastic crystal. Basing on the Cauchy model and using the quaternion algebra we present a rigorous derivation of the quaternion form of the diffusion equation. The fundamental consequences of all derived equations and relations for physics, chemistry and the future prospects are presented
Dynamics of tagged particles in a biased A + A → Φ system in one dimension: result for asynchronous and parallel updates
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Diffusive and non-diffusive language shift: Why are language borders moving and language islands shrinking?
Get PDFWe compare two situations of language shift: When a language border exists, as e.g. between Slovenian and German in Carinthia, Austria before World War I or between Gaelic and English in Northwestern Scotland, then close to that border language shift is promoted by diffusive contact between different settlements. Such contact, however, was of no significant influence on language shift from German to Hungarian in Southern Hungary where no language border exists