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| dc.creator | Lehr, Heiner | |
| dc.creator | Sagués i Mestre, Francesc | |
| dc.creator | Sancho, José M. | |
| dc.date | 2011-07-07T12:50:51Z | |
| dc.date | 2011-07-07T12:50:51Z | |
| dc.date | 1996 | |
| dc.date.accessioned | 2024-12-16T10:27:18Z | |
| dc.date.available | 2024-12-16T10:27:18Z | |
| dc.identifier | 1539-3755 | |
| dc.identifier | http://hdl.handle.net/2445/18700 | |
| dc.identifier | 114548 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/22225 | |
| dc.description | In this paper we consider diffusion of a passive substance C in a temporarily and spatially inhomogeneous two-dimensional medium. As a realization for the latter we choose a phase-separating medium consisting of two substances A and B, whose dynamics is determined by the Cahn-Hilliard equation. Assuming different diffusion coefficients of C in A and B, we find that the variance of the distribution function of the said substance grows less than linearly in time. We derive a simple identity for the variance using a probabilistic ansatz and are then able to identify the interface between A and B as the main cause for this nonlinear dependence. We argue that, finally, for very large times the here temporarily dependent diffusion "constant" goes like t-1/3 to a constant asymptotic value D¿. The latter is calculated approximately by employing the effective-medium approximation and by fitting the simulation data to the said time dependence. | |
| dc.format | 9 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | The American Physical Society | |
| dc.relation | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.54.5028 | |
| dc.relation | Physical Review e, 1996, vol. 54, num. 5, p. 5028-5036 | |
| dc.relation | http://dx.doi.org/10.1103/PhysRevE.54.5028 | |
| dc.rights | (c) The American Physical Society, 1996 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | |
| dc.subject | Òptica geomètrica | |
| dc.subject | Materials inhomogenis | |
| dc.subject | Geometrical optics | |
| dc.subject | Inhomogeneous materials | |
| dc.title | Diffusion in spatially and temporarily inhomogeneous media | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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