Abstract
We show in this paper how the segregation of reactants in the diffusion-limited reaction A+B→0 on a fractal substrate arises. For spectral dimensions ds ⩽ 2 we obtain segregation controlled by the source and/or the intrinsic lifetime of the particles.
Similar content being viewed by others
References
R. Kopelman,Science 241:1620 (1988).
V. Kuzovkov and E. Kotomin,Phys. Stat. Sol. (b) 105:789 (1981).
A. A. Ovchinnikov and Y. B. Zeldovich,Chem. Phys. 28:215 (1978).
D. Toussaint and F. Wilczek,J. Chem. Phys. 78:2642 (1983).
K. Kang and S. Redner,Phys. Rev. Lett. 52:955 (1984).
M. Bramson and J. L. Leibowitz,Phys. Rev. Lett. 61:2397 (1988).
K. Kang and S. Redner,Phys. Rev. A 32:435 (1985).
P. Meakin and H. E. Stanley,J. Phys. A 17:L173 (1984).
L. W. Anacker and R. Kopelman,Phys. Rev. Lett. 58:289 (1987).
Z. Y. Zhang,Phys. Rev. Lett. 59:1726 (1987).
K. Lindenberg, B. West, and R. Kopelman,Phys. Rev. Lett. 60:1777 (1988).
D. Ben-Avraham and C. Doering,Phys. Rev. A 37:5007 (1988).
S. Kanno, preprint (1988).
E. Clément, L. M. Sander, and R. Kopelman,Phys. Rev. A 39:6455 (1989).
E. Clément, L. M. Sander, and R. Kopelman,Phys. Rev. A 39:6466 (1989).
I. M. Sokolov,Phys. Lett. A 139:403 (1989).
B. O'Shaughnessy and I. Procaccia,Phys. Rev. A 32:3073 (1985).
S. Havlin and D. Ben-Avraham,Adv. Phys. 36:695 (1987).
E. Clément, L. M. Sander, and R. Kopelman,Phys. Rev. A 39:6472 (1989).
D. Stauffer,Introduction to Percolation Theory (Taylor and Francis, London, 1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Clément, E., Kopelman, R. & Sander, L.M. The diffusion-limited reaction A+B→0 on a fractal substrate. J Stat Phys 65, 919–924 (1991). https://doi.org/10.1007/BF01049589
Issue Date:
DOI: https://doi.org/10.1007/BF01049589