Nonclassical kinetics in constrained geometries: Initial distribution effects

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 5, 1998, Pages 853-868

  Lindenberg, K ^a   Romero, A H ^a   Sancho, J M ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032063498     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000668     Document Type: Article

References (18)

1. Abramson, G., Bru Espino, A., Rodriguez, M. A. & Wio, H. S. [1994] "Analytic approach to the space-time kinetics of annihilation reactions," Phys. Rev. E50, 4319-4326.
2. Abramson, G. [1995] "Cinética anómala en sistemas bimoleculares de reacción-difusiön," PhD thesis.
3. Argyrakis, P., Kopelman, R. & Lindenberg, K. [1993]"Diffusion-limited binary reactions: The hierarchy of non-classical regimes for random initial conditions," Chem. Phys. 177, 693-707.
4. Burlatskii, S. F., Ovchinnikov, A. A. & Oshanin, G. S. [1989] "Fluctuation-dominated kinetics of irreversible bimolecular reactions with external random sources on fractals," Phys. Lett. A7, 245-248 and references therein.
5. Kang, K. & Redner, S. [1984] "Scaling approach for the kinetics of recombination processes," Phys. Rev. Lett. 52, 955-958.
6. Koo, Y.-E. L. & Kopelman, R. [1991] "Space- and time-resolved diffusion-limited binary reaction kinetics in capillaries: Experimental observation of segregation, anomalous exponents, and depletion zone," J. Stat. Phys. 65, 893-918 and references therein.
7. Kopelman, R. [1988] "Fractal reaction kinetics," Science 241, 1620-1626.
8. Lindenberg, K., West, B. J. & Kopelman, R. [1988] "Steady-state segregation in diffusion-limited reactions," Phys. Rev. Lett. 60, 1777-1780.
9. Lindenberg, K., West, B. J. & Kopelman, R. [1990] "Diffusion-limited A+B to 0 reaction: Correlated initial condition," Phys. Rev. A42, 890-894.
10. Lindenberg, K., Argyrakis, P. & Kopelman, R. [1994] "Diffusion-limited binary reactions: The hierarchy of non-classical regimes for correlated initial conditions," J. Phys. Chem. 98, 3389-3397.
11. Lindenberg, K., Argyrakis, P. & Kopelman, R. [1996] in Noise and Order: The New Synthesis, ed. Millonas, M. (Springer, New York), pp. 171-203.
12. Sancho, J. M., Romero, A. H., Lindenberg, K., Sagués, F., Reigada, A. & Lacasta, A. M. [1996] "A + B → 0 reaction with different initial patterns," submitted for publication.
13. Ovchinnikov, A. A. fe Zeldovich, Y. B. [1978] "Role of density fluctuations in bimolecular reaction kinetics," Chem. Phys. 28, 215-218.
14. Fractal initial conditions have been considered in the context of aggregation phenomena in Provata, A., Takayasu, H. & Takayasu, M. [1996] "Long-term memory effects in closed random aggregating systems," Europh. Lett. 33, 99-104.
15. Sokolov, I. M. & Blumen, A. [1991] "Diffusion-controlled reactions in lamellar systems," Phys. Rev. A43, 2714-2719.
16. Toussaint, D. & Wilzcek, F. [1983] "Particle-antiparticle annihilation in diffusive motion," J. Chem. Phys. 78, 2642-2647.
17. Vicsek, T. [1992] Fractal Growth Phenomena, 2nd edition (World Scientific, Singapore), pp. 24-25.
18. Vitukhnovsky, A. G., Pyttel, B. L. & Sokolov, I. M. [1988] "Cluster formation in the reaction A+B = 0: Theory and computer simulations," Phys. Lett. A128, 161-165.