Fractional reaction-diffusion equation

Journal of Chemical Physics

Volumn 119, Issue 4, 2003, Pages 2165-2170

  Seki, Kazuhiko ^a   Wojcik, Mariusz ^a,b   Tachiya, M ^a  

^a NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

^b LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBABILITY; REACTION KINETICS;

DIFFUSION EQUATION; FRACTIONAL REACTION; REACTION RATE; RECOMBINATION PROBABILITY;

DIFFUSION IN LIQUIDS;

EID: 0042708009     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1587126     Document Type: Article

References (24)

1. I. M. Sokolov, J. Klafter, and A. Blumen, Phys. Today 55, 48 (2002)
2. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000)
3. R. Balescu, Statistical Dynamics; Matter out of Equilibrium (Imperial Collage Press, London, 1997)
4. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994)
5. J. W. Haus and K. W. Kehr, Phys. Rep. 150, 263 (1987).
6. B. D. Hughes, Random Walks and Random Environments, Vol. 1 (Clarendon, Oxford, 1995), and references cited therein.
7. E. W. Montroll and G. H. Weiss, J. Math. Phys. 6, 167 (1965).
8. V. M. Kenkre, E. W. Montroll, and M. F. Shlesinger, J. Stat. Phys. 9, 45 (1973)
9. E. W. Montroll and M. F. Shlesinger, Studies of Statistical Mechanics, edited by J. L. Lebowitz and E. W. Montroll (North-Holland, Amsterdam, 1984), Vol. 11, p. 5
10. V. Balakrishnan, Physica A 132, 569 (1985).
11. S. B. Yuste and K. Lindenberg, Phys. Rev. Lett. 87, 118301 (2001)
12. S. B. Yuste and K. Lindenberg, Chem. Phys. 284, 169 (2002).
13. J. Sung, E. Barkai, R. J. Silbey, and S. Lee, J. Chem. Phys. 116, 2338 (2002).
14. B. I. Henry and S. L. Wearne, Physica A 276, 448 (2000)
15. B. I. Henry and S. L. Wearne, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 62, 870 (2002)
16. M. O. Vlad and J. Ross, Phys. Rev. E 66, 061908 (2002)
17. S. Fedotov and V. Méndez, ibid. 66, 030102 (2002).
18. M. Tachiya, J. Chem. Phys. 69, 2375 (1978)
19. S. A. Rice, Diffusion-Limited Reactions, in Comprehensive Chemical Kinetics, edited by C. H. Bamford, C. F. H. Tipper, and R. G. Compton (Elsevier, Amsterdam, 1985), Vol. 25; and references cited therein.
20. G. Pfister and H. Scher, Adv. Phys. 27, 747 (1978).
21. M. Tachiya, Chem. Phys. Lett. 34, 77 (1975).
22. J. B. Pedersen, J. Chem. Phys. 72, 771 (1980)
23. ibid. 72, 3904 (1980).
24. H. Watanabe, J. Chem. Phys. 69, 4872 (1978).