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Trapping without traps by correlated random walks

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Abstract

Correlated random walk of particles in the infinite cluster of percolating lattices in two dimensions is investigated. For infinitely strong forward correlations (no change of direction except at the boundaries) trapping of the particles in small regions of the infinite cluster is observed.

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References

  1. J. W. Haus and K. W. Kehr,Phys. Rep. 150:263 (1987).

    Google Scholar 

  2. S. Havlin and D. ben-Avraham,Adv. Phys. 36:695 (1987).

    Google Scholar 

  3. J. P. Bouchaud and A. Georges,Phys. Rep. 195:127 (1990).

    Google Scholar 

  4. V. Lottner, J. W. Haus, A. Heim, and K. W. Kehr,J. Phys. Chem. Solids 40:557 (1979).

    Google Scholar 

  5. P. Argyrakis and R. Kopelman,Chem. Phys. 57:29 (1981);78:251 (1983);J. Theor. Biol. 73:205 (1978);J. Chem. Phys. 72:3053 (1980);84:1047 (1986).

    Google Scholar 

  6. D. Stauffer,Introduction to Percolation Theory (Taylor & Francis, London, 1985), Chapter 5.

    Google Scholar 

  7. E. Seifert and M. Suessenbach,J. Phys. A 17:L 703 (1984).

    Google Scholar 

  8. K. W. Kehr and P. Argyrakis,J. Chem. Phys. 84:5816 (1986).

    Google Scholar 

  9. P. Argyrakis and K. W. Kehr, to be published.

  10. R. Hilfer and R. Orbach, inDynamical Processes in Condensed Molecular Systems, J. Klafter, J. Jortner, and A. Blumen, eds. (World Scientific, Singapore, 1989).

    Google Scholar 

  11. J. Hoshen and R. Kopelman,Phys. Rev. B 14:3438 (1976).

    Google Scholar 

  12. P. W. Anderson, inIll-Condensed Matter, R. Balian, R. Maynard, and G. Toulouse, eds. (North-Holland, Amsterdam, 1979), p. 159.

    Google Scholar 

  13. K. W. Kehr and K. P. N. Murthy,Phys. Rev. A. 41:5728 (1990).

    Google Scholar 

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Argyrakis, P., Kehr, K.W. Trapping without traps by correlated random walks. J Stat Phys 63, 399–404 (1991). https://doi.org/10.1007/BF01026612

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  • DOI: https://doi.org/10.1007/BF01026612

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