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Autor/in | Bringuier, E. |
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Titel | Particle Diffusion in an Inhomogeneous Medium |
Quelle | In: European Journal of Physics, 32 (2011) 4, S.975-992 (18 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0143-0807 |
DOI | 10.1088/0143-0807/32/4/012 |
Schlagwörter | Experiments; Calculus; College Curriculum; Higher Education; Scientific Concepts; Motion; Probability; Thermodynamics; Physics; Kinetics |
Abstract | This paper is an elementary introduction to particle diffusion in a medium where the coefficient of diffusion varies with position. The introduction is aimed at third-year university courses. We start from a simple model of particles hopping on a discrete lattice, in one or more dimensions, and then take the continuous-space limit so as to obtain the differential equation of diffusion. The discrete-step model is next adapted to investigate diffusion by continuous-length steps; the coefficient of diffusion is related to the mean free path. In both the discrete- and continuous-step models, the diffusion law has the Fokker-Planck (instead of Fick) pattern if the jumps are not biased and occur equally likely in all directions. Lastly, three experimental examples of diffusion in inhomogeneous media are examined; the observed law can be of a Fokker-Planck, Fick or hybrid type. (Contains 5 footnotes and 3 figures.) (As Provided). |
Anmerkungen | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |