Exactly solvable model of A + A → 0 reactions on a heterogeneous catalytic chain

Europhysics Letters

Volumn 62, Issue 1, 2003, Pages 69-75

  Oshanin, G ^a   Benichou O ^b   Blumen, A ^c  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b Tour 13   (France)

^c UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037388350     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00363-0     Document Type: Article

References (19)

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2. BOND G. C., Heterogeneous Catalysis: Principles and Applications (Clarendon Press, Oxford) 1987; AVNIR D., GUTFRAIND R. and FARIN D., in Fractals in Science, edited by BUNDE A. and HAVLIN S. (Springer, Berlin) 1994.
3. ZIFF R. M., GULARI E. and BARSHAD Y., Phys. Rev. Lett., 50 (1986) 2553; FICHTHORN K., GULARI E. and ZIFF R., Phys. Rev. Lett., 63 (1989) 1527.
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5. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
6. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
7. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
8. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
9. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
10. See, e.g., CONSIDINE D., REDNER S. and TAKAYASU H., Phys. Rev. Lett., 63 (1989) 2857; MAI J., VON NIESSEN W. and BLUMEN A., J. Chem. Phys., 93 (1990) 3685; KRAPIVSKY P. L., Phys. Rev. A, 45 (1992) 1067; EVANS J. W. and RAY T. R., Phys. Rev. E, 47 (1993) 1018; MOBILIA M. and BARES P.-A., Phys. Rev. E, 63 (2001) 036121; ARGYRAKIS P., BURLATSKY S. F., CLÉMENT E. and OSHANIN G., Phys. Rev. E, 63 (2001) 021110 and references therein.
11. For a recent review see: MARRO J. and DICKMAN R., Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge) 1999.
12. DOMB C., Nuovo Cimento, 9 (1958) 9.
13. BAXTER R. J., Exactly Solved Models in Statistical Mechanics (Academic, New York) 1982.
14. See, e.g., http://mathworld.wolfram.com/FibonacciPolynomial.html.
15. OSHANIN G., BÉNICHOU O. and BLUMEN A., in preparation.
16. DERRIDA B., VANNIMENUS J. and POMEAU Y., J. Phys. C, 11 (1978) 4749; DERRIDA B. and HILHORST H., J. Phys. C, 14 (1981) L539; J. Phys. A, 16 (1983) 2641.
17. DERRIDA B., VANNIMENUS J. and POMEAU Y., J. Phys. C, 11 (1978) 4749; DERRIDA B. and HILHORST H., J. Phys. C, 14 (1981) L539; J. Phys. A, 16 (1983) 2641.
18. DERRIDA B., VANNIMENUS J. and POMEAU Y., J. Phys. C, 11 (1978) 4749; DERRIDA B. and HILHORST H., J. Phys. C, 14 (1981) L539; J. Phys. A, 16 (1983) 2641.
19. CRISANTI A., PALADIN G. and VULPIANI A., Products of Random Matrices in Statistical Physics (Springer-Verlag, Berlin, Heidelberg) 1993.