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Nonclassical A+B→0 batch reactions: Effect of mobility on rate, order, aggregation and segregation
Phys. Rev. E 47, 3757 – Published 1 May, 1993
DOI: https://doi.org/10.1103/PhysRevE.47.3757
Abstract
Monte Carlo simulations are performed for the elementary batch reaction A+B→0 on a one-dimensional lattice. The initial densities of the A and B species are always identical but the relative mobility is varied. We investigate the rates, rate laws, and particle distribution functions. The rate power law is conserved, i.e., the density always decays in time algebraically with exponent 1/4. The rate coefficient is proportional to the relative mobility, as expected. The interparticle distribution functions (‘‘gaps’’ and nearest-neighbor distances) show that the aggregation does depend on the relative mobility but the segregation does not. However, this subtle difference has no effect on the asymptotic reaction order, which is close to 5.
References (23)
- Conference on Models of Nonclassical Reaction Rates [J. Stat. Phys. 65 (1991)].
- A. A. Ovchinnikov and Y. B. Zeldovich, Chem. Phys. 28, 215 (1978).
- L. W. Anacker and R. Kopelman, Phys. Rev. Lett. 58, 289 (1987).
- K. Lindenberg, B. J. West and R. Kopelman, Phys. Rev. Lett. 60, 1777 (1988); B. J. West, R. Kopelman and K. Lindenberg, J. Stat. Phys. 54, 1429 (1989); K. Lindenberg, B. J. West, and R. Kopelman, in Noise and Chaos in Nonlinear Dynamical Systems, edited by F. Moss, L. Lugiab, and W. Schleich (Cambridge University Press, Cambridge, 1990).
- E. Clement, L. M. Sander and R. Kopelman, Phys. Rev. A 39, 6455 (1989); ibid. 39, 6466 (1989); ibid. 39, 6472 (1989).
- M. Bramson and J. Lebowitz, J. Stat. Phys. 65, 941 (1991).
- I. M. Sokolov, H. Schnorer and A. Blumen, Phys. Rev. A 44, 2388 (1991).
- L. A. Anacker and R. Kopelman, in Dynamics in Small Materials, edited by J. M. Drake, J. Klafter, and R. Kopelman (Materials Research Society, Pittsburgh, 1990), p. 97.
- L. W. Anacker and R. Kopelman, Video Film, von Neumann Supercomputing Center, Princeton (1990).
- P. W. Klymko and R. Kopelman, J. Phys. Chem. 87, 4565 (1983).
- R. Kopelman, in The Fractal Approach to Heterogeneous Chemistry, edited by D. Avnir (Wiley, New York, 1989).
- V. M. Agranovich and M. D. Galanin, Electronic Excitation Energy Transfer in Condensed Matter, (North-Holland, Amsterdam, 1982).
- R. Kopelman, S. J. Parus and J. Prasad, Chem. Phys. 128, 209 (1988).
- Y. E. Koo and R. Kopelman, J. Stat. Phys. 65, 893 (1991).
- R. Kopelman and Y. E. Koo, Isr. J. Chem. 31, 147 (1991).
- L. Galfi and Z. Racz, Phys. Rev. A 38, 3151 (1988).
- H. Taitelbaum, S. Havlin, J. E. Kiefer, B. Trus and G. H. Weiss, J. Stat. Phys. 65, 873 (1991).
- H. Taitelbaum, Y.-E. L. Koo, S. Havlin, R. Kopelman and G. H. Weiss, Phys. Rev. A 46, 2151 (1993).
- L. A. Harmon, L. Li, L. W. Anacker and R. Kopelman, Chem. Phys. Lett. 163, 463 (1989).
- P. Argyrakis and R. Kopelman, Phys. Rev. A 41, 2121 (1990).
- S. Redner and F. Leyvraz, J. Stat. Phys. 65, 1043 (1991).
- G. Zumofen, J. Klafter and A. Blumen, Phys. Rev. A 44, 8394 (1991).
- P. Argyrakis and R. Kopelman, Phys. Rev. A 45, 5814 (1992).