Front propagation in one-dimensional autocatalytic reactions: The breakdown of the classical picture at small particle concentrations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 1 A, 2000, Pages 141-145

  Mai, J ^a   Sokolov, I M ^a   Blumen, A ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY; REACTION KINETICS;

AUTOCATALYSIS; FISHER EQUATION;

CATALYSIS;

EID: 0034227237     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.141     Document Type: Article

References (19)

1. V.N. Kuzovkov and E.A. Kotomin, Rep. Prog. Phys. 51, 1479 (1988).
2. E. Kotomin and V. Kuzovkov, Modern Aspects of Diffusion-Controlled Reactions: Cooperative Phenomena in Bimolecular Processes, in Comprehensive Chemical Kinetics (Elsevier, Amsterdam, 1996), Vol. 34.
3. H. Schnörer, V. Kuzovkov, and A. Blumen, Phys. Rev. Lett. 63, 805 (1989).
4. G. Zumofen, J. Klafter, and A. Blumen, Phys. Rev. A 44, 8390 (1991).
5. J. D. Murray, Mathematical Biology (Springer, Berlin, 1979).
6. P. Gray and S.K. Scott, Chemical Oscillations and Instabilities (Clarendon Press, Oxford, 1990).
7. J. Mai, I.M. Sokolov, and A. Blumen, Phys. Rev. Lett. 77, 4462 (1996).
8. J. Mai, V. Kuzovkov, I.M. Sokolov, and A. Blumen, Phys. Rev. E 56, 4130 (1996).
9. J. Mai, I.M. Sokolov, and A. Blumen, Europhys. Lett. 44, 7 (1998).
10. D.A. Kessler and H. Levine, Nature (London) 394, 556 (1998).
11. C.R. Doering, M.A. Bruschka, and W. Horsthemke, J. Stat. Phys. 65, 953 (1991).
12. J. Riordan, C.R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 75, 565 (1995).
13. H.-P. Breuer, W. Huber, and F. Petruccione, Physica D 73, 259 (1994).
14. H.-P. Breuer, W. Huber, and F. Petruccione, Europhys. Lett. 30, 69 (1995).
15. M.A. Karzazi, A. Lemarchand, and M. Mareschal, Phys. Rev. E 54, 4888 (1996).
16. A. Lemarchand and B. Nowakowski, Europhys. Lett. 41, 455 (1998).
17. A. Lemarchand, H. Lemarchand, E. Sulpice, and M. Marechal, Physica A 188, 277 (1992).
18. E. Brunet and B. Derrida, Phys. Rev. E 56, 2597 (1997).
19. D.A. Kessler, Z. Ner, and L.M. Sander, Phys. Rev. E 58, 107 (1998).