Abstract
We show on a specific example a few anomalous properties of Knudsen diffusion in two dimensional irregular porous catalysts. The geometrical irregularity is modeled by prefractal shapes. The probability distribution of the number of collisions is found to obey a power law of the Lévy type with an exponent ≈ −2. A remarkable result is that the distribution does not change significantly between specular and random reflection in deterministic prefractals.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Avnir, D., Farin, D., Pfeifer, P. (1983). J. Chem. Phys., 79, 3566.
Avnir, D., Farin, D., Pfeifer, P. (1984). Nature 308, 261, (1984).
Pfeifer, P., Avnir, D. (1983). J. Chem. Phys., 79, 3558.
Kopelmann, R. (1989): in The Fractal approach to Heterogeneous Chemistry. Ed D. Avnir (Wiley, New York), 295 and references therein.
Coppens, M.O., Froment, G.F. (1994). Chem. Eng. Sc., 49, 4897.
Coppens, M.O., Froment, G.F. (1995). Chem. Eng. Sc., 50, 1207.
Coppens, M.O., Froment, G.F. (1995). Fractals, 3, 807.
Sapoval, B. (1996): in Fractals and Disordered Systems. 2nd edition ed by A. Bunde and S. Havlin (Springer Verlag), 232–261.
Pfeifer, P., Sapoval, B. (1995). Mat. Res. Soc. Symp. Proc, 366, 271.
Derjaguin, B. (1948). C. R. Acad. Sei. URSS, 7, 623.
Lévitz, P. (1993). Mat. Res. Soc. Symp. Proc, 290, 197.
Lévitz, P. (1993). J. Phys. Chem., 97, 3813.
Valleau, J.P., Diestier, D.J., Schoen, M., Hertzner, A.W., Riley, M.E. (1991). J. Chem. Phys., 95, 6194.
Klafter, J., Shlesinger, M.F., Zumofen, G. (February 1996). Physics Today, 49, 33.
Lévitz, P. Europhys. Lett, to be published.
Santra, S.B., Sapoval, B., Haeberlé, O. To be published.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag London Limited
About this paper
Cite this paper
Santra, S.B., Sapoval, B., Haeberlé, O. (1997). Lévy Distribution of Collisions for Knudsen Diffusion in Fractal Pores. In: Lévy Véhel, J., Lutton, E., Tricot, C. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0995-2_26
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0995-2_26
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1253-2
Online ISBN: 978-1-4471-0995-2
eBook Packages: Springer Book Archive