Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 418914
Title Knudsen Diffusion in finite-size channels from a forst-passage point of view.
Author(s) Dammers, A.J.; Coppens, M.O.
Source Soft Materials 10 (2012)1-3. - ISSN 1539-445X - p. 369 - 386.
Department(s) PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2012
Keyword(s) gas molecules - pore walls - systems - tubes - flow
Abstract We studied the distribution of molecular hits on the wall of a finite cylindrical channel in the Knudsen regime. Particles entered the channel and either returned to the entrance or were transmitted to the opposite channel end. Using a first-passage approach we derived expressions for the spatial distributions of hitting probabilities. Monte Carlo simulations essentially confirmed the theoretical predictions, but significant boundary effects were observed. We related these to distributions of chord lengths {r}: g(r), characterizing chords connecting entrance positions and the locations of the first hit, and f(r), representing chords connecting two consecutive collision points. An interesting numerical observation is their asymptotic (large r) behavior: g(r) 1/r3 and f(r) 1/r4. We present analytical calculations sustaining these power laws
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