Interaction of ballistic particles with irregular pore walls, Knudsen diffusion, and catalytic efficiency

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 6, 1998, Pages 6888-6896

  Santra, S B ^a   Sapoval, B ^a  

^a LABORATOIRE DE PHYSIQUE DE LA MATIÈRE CONDENSÉE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000133714     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.6888     Document Type: Article

References (33)

1. M. Knudsen, Ann. Phys. (N.Y.) 28, 75 (1909).APNYA6
2. S. Dushmann, Scientific Foundations of Vacuum Technique (John Wiley and Sons, New York, 1962)
3. J. M. Thomas and W. J. Thomas, Principles and Practice of Heterogeneous Catalysis (VCH, Weinheim, 1997), and references therein.
4. G. F. Froment and K. B. Bischoff, Chemical Reactor Analysis and Design (John Wiley and Sons, New York, 1990), and references therein.
5. V. Pasquier, P. Lévitz, and A. Delville, J. Phys. Chem. 100, 10 249 (1996), and references therein.JPCHAX
6. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
7. B. Sapoval, Fractals (Aditech, Paris, 1989); Universalités et Fractales (Flammarion, Paris, 1997).
8. D. Avnir, D. Farin, and P. Pfeifer, J. Chem. Phys. 79, 3566 (1983); JCPSA6
9. D. AvnirD. FarinP. PfeiferNature (London) 308, 261 (1984).
10. P. Pfeifer and D. Avnir, J. Chem. Phys. 79, 3558 (1983).JCPSA6
11. R. Kopelmann, in The Fractal Approach to Heterogeneous Chemistry, edited by D. Avnir (Wiley, New York, 1989), p. 295, and references therein.
12. Usual diffusion, in which the mean free path is much smaller than the pore size, towards irregular surfaces and its role in heterogeneous catalysis are discussed in B. Sapoval, in Fractals and Disordered Systems, 2nd ed., edited by A. Bunde and S. Havlin (Springer-Verlag, Berlin, 1996), p. 232
13. and P. Pfeifer and B. Sapoval, in Dynamics in Small Confining Systems II, edited by J. M. Drake et al., MRS Symp. Proc. No. 366 (Materials Research Society, Pittsburgh, 1995), p. 271.
14. See for instance J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today 49, 33 (1996) and references therein.PHTOAD
15. B. Derjaguin, C. R. (Dokl.) Acad. Sci. URSS 7, 623 (1948).ZZZZZZ
16. J. W. Evans, M. H. Abbasi, and A. Sarin, J. Chem. Phys. 72, 2967 (1980).JCPSA6
17. Y. Nakano and J. W. Evans, J. Chem. Phys. 78, 2568 (1983).JCPSA6
18. P. Lévitz, in Dynamics in Small Confining Systems, edited by J. M. Drake, MRS Symp. Proc. No. 290 (Materials Research Society, Pittsburgh, 1993), p. 197.
19. P. Lévitz, J. Phys. Chem. 97, 3813 (1993).JPCHAX
20. P. Lévitz, Europhys. Lett. 39, 6 (1997).EULEEJ
21. M. O. Coppens and G. F. Froment, Chem. Eng. Sci. 49, 4897 (1994).CESCAC
22. M. O. Coppens and G. F. Froment, Chem. Eng. Sci. 50, 1207 (1995).CESCAC
23. M. O. Coppens, Fractals 3, 807 (1995)
24. and in Fractals in Engineering: From Theory to Industrial Applications, edited by J. Lévy-Vehel, E. Lutton, and C. Tricot (Springer, London, 1997), p. 336.
25. R. P. Wool and J. M. Long, Macromolecules 26, 5227 (1993)
26. and R. P. Wool, Structure and Strength of Polymer Interfaces (Hanser, City, 1994).
27. J. P. Valleau, D. J. Diestler, M. Schoen, A. W. Hertzner, and M. E. Riley, J. Chem. Phys. 95, 6194 (1991), and references therein.JCPSA6
28. P. J. Richens and M. V. Berry, Physica D 2, 495 (1981).PDNPDT
29. S. B. Santra, B. Sapoval, and O. Haeberlé, in Fractals in Engineering: From Theory to Industrial Applications, edited by J. Lévy-Vehel, E. Lutton, and C. Tricot (Springer, London, 1997), p. 350.
30. G. A. Rutgers, in Encyclopedia of Physics, edited by S. Flügge, Light and Matter II Volume XXVI (Springer-Verlag, Heidelberg, 1958), p. 138.
31. R. Siegel and J. R. Howell, Thermal Radiation and Transfer (McGraw-Hill Kogakusha, Ltd. Tokyo, 1972).
32. C. Dybowski, N. Bansal, and T. M. Duncan, Annu. Rev. Phys. Chem. 42, 433 (1991).ARPLAP
33. J. Fraissard, in Encyclopedia of Nuclear Magnetic Resonance, edited by D. M. Grant and R. K. Harris (John Wiley and Sons, New York, 1990), p. 3058.