Time dependent diffusion in a disordered medium with partially absorbing walls: A perturbative approach

Journal of Chemical Physics

Volumn 125, Issue 19, 2006, Pages

  Qian, Jiang ^a,b   Sen, Pabitra N ^b  

^a HARVARD UNIVERSITY   (United States)

^b SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PARTIALLY ABSORBING WALLS; PARTICLE DENSITY;

BOUNDARY CONDITIONS; PERTURBATION TECHNIQUES; VOLUME FRACTION;

DIFFUSION;

MICROSPHERE;

ABSORPTION; ALGORITHM; ARTICLE; DIFFUSION; MATHEMATICS; POROSITY; TIME;

ABSORPTION; ALGORITHMS; DIFFUSION; MATHEMATICS; MICROSPHERES; POROSITY; TIME FACTORS;

EID: 33845328474     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2372497     Document Type: Article

References (25)

1. M. V. Smoluchowsky, Phys. Z. 17, 557 (1916).
2. G. H. Weiss, J. Stat. Phys. 42, 3 (1986); Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
3. G. H. Weiss, J. Stat. Phys. 42, 3 (1986); Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
4. R. F. Kayser and J. B. Hubbard, J. Chem. Phys. 80, 1127 (1984).
5. M. Fixman, Phys. Rev. Lett. 52, 791 (1984).
6. A. R. Kansal and S. Torquato, J. Chem. Phys. 116, 10589 (2002).
7. P.-G. de Gennes, Acad. Sci., Paris, C. R. 295, 1061 (1982).
8. F. Bloch, Phys. Rev. 83, 1062 (1951).
9. D. M. Grant and R. K. Harris, in Encyclopedia of Nuclear Magnetic Resonance, edited by, D. M. Grant, and, R. K. Harris, (Wiley, New York, 1996).
10. R. L. Kleinberg, Encyclopedia of Nuclear Magnetic Resonance (Ref.), p. 4960.
11. T. R. Kirkpatrick, J. Chem. Phys. 76, 4255 (1982).
12. P. N. Sen, Concepts Magn. Reson. 23, 1 (2004).
13. K. R. Brownstein and C. E. Tarr, Phys. Rev. A 19, 2446 (1979).
14. L. J. Zielinski, Y.-Q. Song, S. Ryu, and P. N. Sen, J. Chem. Phys. 117, 5361 (2002).
15. L. Marinelli, M. D. Hürlimann, and P. N. Sen, J. Chem. Phys. 118, 8927 (2003).
16. P. P. Mitra, P. N. Sen, L. M. Schwartz, and P. Le Doussal, Phys. Rev. Lett. 65, 3555 (1992).
17. P. P. Mitra, P. N. Sen, and L. M. Schwartz, Phys. Rev. B 47, 8565 (1993); Eq. has severe typographical mistakes which can be fixed by multiplying the right side by (κ D0 +ρ) (κ D0 -ρ). Also, a factor of S Vp is missing from the last term in Eq..
18. P. P. Mitra, P. N. Sen, and L. M. Schwartz, Phys. Rev. B 47, 8565 (1993); Eq. has severe typographical mistakes which can be fixed by multiplying the right side by (κ D0 +ρ) (κ D0 -ρ). Also, a factor of S Vp is missing from the last term in Eq..
19. P. N. Sen, L. M. Schwartz, P. P. Mitra, and B. I. Halperin, Phys. Rev. B 49, 215 (1994).
20. T. M. de Swiet and P. N. Sen, J. Chem. Phys. 104, 206 (1996).
21. M. Bixon and R. Zwanzig, J. Chem. Phys. 75, 2354 (1981).
22. P. Grassberger and I. Procaccia, J. Chem. Phys. 77, 6281 (1982).
23. M. D. Donsker and S. R. S. Varadhan, Commun. Pure Appl. Math. 36, 183 (1983).
24. M. Ernst, L. Haines, and J. R. Dorfman, Rev. Mod. Phys. 41, 296 (1969).
25. R. Zwanzig, Phys. Rev. 129, 486 (1963).