Disorder-induced Fickian, yet non-Gaussian diffusion in heterogeneous media
نویسندگان
چکیده
منابع مشابه
Even hard-sphere colloidal suspensions display Fickian yet non-Gaussian diffusion.
We scrutinize three decades of probability density displacement distribution in a simple colloidal suspension with hard-sphere interactions. In this index-matched and density-matched solvent, fluorescent tracer nanoparticles diffuse among matrix particles that are eight times larger, at concentrations from dilute to concentrated, over times up to when the tracer diffuses a few times its size. D...
متن کاملRectification and Non-Gaussian Diffusion in Heterogeneous Media
Paolo Malgaretti 1,2,3,*, Ignacio Pagonabarraga 3 and J. Miguel Rubi 3 1 Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, Stuttgart D-70569, Germany 2 IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, Stuttgart D-70569, Germany 3 Departament de Fìsica Fonamental, Universitat de Barcelona, Carrer Marti i Franques 1, Barcelona 08001, Spain; ipagonabar...
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Subsurface fluid flow and solute transport take place in a multiscale heterogeneous environment. Neither these phenomena nor their host environment can be observed or described with certainty at all scales and locations of relevance. The resulting ambiguity has led to alternative conceptualizations of flow and transport and multiple ways of addressing their scale and space–time dependencies. We...
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[1] Fickian models of diffusion often fail to describe transport phenomena in heterogeneous environments due to their inability to capture the sub-scale fluctuations. We present an effective description of non-Fickian behavior that reflects the dichotomy between the continuum nature of Fick’s law and the finite (effective) observation scale associated with experimental studies of transport phen...
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Fick’s law expresses the proportionality of solute flux with respect to concentration gradient. Similar relations are Darcy’s law for the fluid flow in porous media, Ohm’s law for the electric flux and Fourier’s law for heat transfers. When introduced in the corresponding balance equations, these flux laws yield diffusion equations of parabolic character. Different attempts have been made to ob...
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ژورنال
عنوان ژورنال: Physical Review Research
سال: 2020
ISSN: 2643-1564
DOI: 10.1103/physrevresearch.2.022020