Elliptic equation for random walks. Application to transport in microporous media

Physica A: Statistical Mechanics and its Applications

Volumn 375, Issue 1, 2007, Pages 81-96

  Shapiro, Alexander A ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Diffusion; Diffusion equation; Random walks; Residence times; Transport in microporous media

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; MATHEMATICAL OPERATORS; STATISTICAL MECHANICS;

DIFFUSION EQUATION; RANDOM WALKS; RESIDENCE TIMES; TRANSPORT IN MICROPOROUS MEDIA;

DIFFERENTIAL EQUATIONS;

EID: 33751419487     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.08.033     Document Type: Article

References (16)

1. Montroll E.W., and West B.J. In: Montroll E.W., and Lebowitz J.L. (Eds). Fluctuation Phenomena (1979), North-Holland, Amsterdam 61
2. Shlesinger M.F. Nature 355 (1992) 396
3. Shlesinger M.F., Klafter J., and Zumofen G. Am. J. Phys. 67 12 (1999) 1253
4. Schlesinger M.F., Zaslavsky G.M., and Frisch U. Levy Flights and Related Topics in Physics (1994), Springer, Berlin
5. Weeks E.R., Urbach J.S., and Swinney H.L. Physica D 97 (1996) 291
6. Cussler E.L. Diffusion Mass Transfer in Fluid Systems (1997), Cambridge University Press, Cambridge, MA
7. Gardiner C.W. Handbook of Stochastic Methods (1996), Springer, Berlin
8. W. Feller, An Introduction to Probability Theory and Its Applications, vol. II, Wiley, New York, 1974.
9. Auerbach S.M. Int. Rev. Phys. Chem. 19 2 (2000) 155
10. Chempath S., Krishna R., and Snurr R.Q. J. Phys. Chem. B 108 (2004) 13481
11. Kumar P.V., Raut J.S., Warakomski S.J., and Fichthom K.A. J. Chem. Phys. 105 2 (1996) 686
12. Shapiro A.A. Theoret. Found. Chem. Technol. 29 2 (1995) 121
13. A.N. Tikhonov, A.A. Samarskii, Equations of Mathematical Physics, Dover Publications, Reprint edition, 1990.
14. von Solms N., Zecchin N., Rubin A., Andersen S.I., and Stenby E.H. European Polym. J. 41 (2005) 341
15. von Solms N., Rubin A., Andersen S.I., and Stenby E.H. Int. J. Thermophys. 26 1 (2005) 115
16. Felder R.M. J. Mem. Sci. 3 (1978) 15