The random diffusivity approach for diffusion in heterogeneous systems
Dissertation, Universität Potsdam, 2020
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| Sprache: | eng |
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Potsdam
December 2020
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Tag hinzufügen | Zusammenfassung: | Dissertation, Universität Potsdam, 2020 The two hallmark features of Brownian motion are the linear growth < x2(t)> = 2Ddt of the mean squared displacement (MSD) with diffusion coefficient D in d spatial dimensions, and the Gaussian distribution of displacements. With the increasing complexity of the studied systems deviations from these two central properties have been unveiled over the years. Recently, a large variety of systems have been reported in which the MSD exhibits the linear growth in time of Brownian (Fickian) transport, however, the distribution of displacements is pronouncedly non-Gaussian (Brownian yet non-Gaussian, BNG). A similar behaviour is also observed for viscoelastic-type motion where an anomalous trend of the MSD, i.e., <x2(t)> ~ ta, is combined with a priori unexpected non-Gaussian distributions (anomalous yet non-Gaussian, ANG). This kind of behaviour observed in BNG and ANG diffusions has been related to the presence of heterogeneities in the systems and a common approach has been established to address it, that is, the random diffusivity ... |
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| Beschreibung: | kumulative Dissertation |
| Beschreibung: | 147 Seiten Illustrationen, Diagramme |