Abstract
We study the effect of hard-core repulsion (known as the bus effect) betweenB particles on the reaction-diffusion systemA+B→B in the continuous-time random walk model in one dimension with theA particles stationary. We show rigorously that the survival probability of theA particles is asymptotically bounded asC 1≥lim t→∞{[−logS(t)]/t 0.5}≥C 2, whereC 1 andC 2 are constants. We also do simulations to confirm our results.
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References
B. Y. Balagurov and V. G. Vaks,Sov. Phys. JETP 38:968 (1974).
M. D. Donsker and S. R. S. Varadhan,Commun. Pure Appl. Math. 28:279, 525 (1975);32:721 (1979).
P. Grassberger and I. Procaccia,J. Chem. 77:6281 (1982).
S. Havelin, M. Dishon, J. E. Kiefer, and G. H. Weiss,Phys. Rev. Lett. 53:407 (1984).
A. A. Ovchinnikov and S. F. Timashev,Kinetics of Diffusion Controlled Chemical Processes (Nova Science Publishers, New York, 1988).
V. Kuzokov and E. Kotomin,Phys. Rev. Lett. 72:2105 (1994).
D. P. Bhatia, M. A. Prasad, and D. Arora,Phys. Rev. Lett. 75:586 (1995).
S. Chandrashekhar,Rev. Mod. Phys. 15:1 (1946).
T. M. Ligget,Interacting Particle Systems (Springer-Verlag, New York, 1985), Chapter VIII.
S. F. Burlatsky, M. Moreau, G. Oshanin, and A. Blumen,Phys. Rev. Lett. 75:587 (1995).
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Arora, D., Bhatia, D.P. & Prasad, M.A. Survival probability in one dimension for theA+B→B reaction with hard-core repulsion. J Stat Phys 84, 697–711 (1996). https://doi.org/10.1007/BF02179654
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DOI: https://doi.org/10.1007/BF02179654