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Rate constant distribution for the target problem on lattice clusters above the percolation threshold

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Abstract

A diffusion-controlled reaction A+B (N A ≫N B (0)) has been studied by computer simulation of random walk of particles A on a simple cubic lattice with randomly closed sites above the percolation threshold. It is shown that at low concentrations of walkers the nonexponential decay of particles B derives mainly from rate constant distribution.

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References

  1. G. Zumofen, A. Blumen, J. Klafter:J. Chem. Phys.,82, 3198 (1985).

    Article  CAS  Google Scholar 

  2. V.A. Bagryansky, V.A. Tolkatchev:Radiat. Phys. Chem.,37, 517 (1991).

    Google Scholar 

  3. V.A. Bagryansky, V.V. Korolev, V.A. Tolkatchev, N.M. Bazhin:J. Polym. Sci. B.: Polym. Phys.,30, 951 (1992).

    Article  Google Scholar 

  4. V.M. Syutkin, V.A. Tolkatchev, A.V. Dmitryuk, S.E. Paramzina:Chem. Phys.,196, 139 (1995).

    Article  CAS  Google Scholar 

  5. V.M. Syutkin, V.A. Tolkatchev:Chem. Phys.,212, 149 (1996).

    Article  CAS  Google Scholar 

  6. W.P. Helman, K. Funabashi:J. Chem. Phys.,71, 2458 (1979).

    Article  CAS  Google Scholar 

  7. J.-P. Bouchaud, A. Georges:Phys. Rep.,195, 127 (1990).

    Article  Google Scholar 

  8. A. Blumen, G. Zumofen, J. Klafter: inFractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics (A. Amann, L. Cederbaum, W. Gans, eds.) p. 21. Kluwer, Dordrecht 1988.

    Google Scholar 

  9. P. Lianos, P. Argyrakis:J. Phys. Chem.,98, 7278 (1994).

    Article  CAS  Google Scholar 

  10. J. Klafter, A. Blumen, G. Zumofen:J. Stat. Phys.,36, 561 (1984).

    Article  Google Scholar 

  11. M.F. Slesinger:J. Stat. Phys.,36, 639 (1984).

    Article  Google Scholar 

  12. Ya.S. Lebedev:Kinet. Katal.,19, 1367 (1978).

    CAS  Google Scholar 

  13. V.M. Zaskul'nikov, V.A. Tolkatchev:Kinet. Katal.,20, 263 (1979).

    Google Scholar 

  14. V.M. Syutkin:Kim. Fiz.,18, 13 (1999).

    Google Scholar 

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Syutkin, V.M. Rate constant distribution for the target problem on lattice clusters above the percolation threshold. React Kinet Catal Lett 68, 379–386 (1999). https://doi.org/10.1007/BF02475527

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  • DOI: https://doi.org/10.1007/BF02475527

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