Random walk through fractal environments

Preprint English OPEN
Isliker, H.; Vlahos, L.;
(2002)

We analyze random walk through fractal environments, embedded in 3-dimensional, permeable space. Particles travel freely and are scattered off into random directions when they hit the fractal. The statistical distribution of the flight increments (i.e. of the displaceme... View more
  • References (23)
    23 references, page 1 of 3

    [1] E.W. Montroll, G.H. Weiss, J. Math. Phys. 6, 167 (1965).

    [2] P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. A 38, 364 (1988).

    [3] H. Isliker, L. Vlahos, (2001) (unpublished result); S.W. McIntosh, P. Charbonneau, T.J. Bogdan, H.-L. Liu, J.P. Norman, Phys. Rev. E 65, 6125 (2002).

    [4] H. Isliker, A. Anastasiadis, L. Vlahos, Astron. and Astrophys. 363, 1134 (2000); H. Isliker, A. Anastasiadis, L. Vlahos, Astron. and Astrophys. 377, 1068 (2001).

    [5] T.E. Lu, R.J. Hamilton, Ap. J. 380, L89 (1991); T.E. Lu, R.J. Hamilton, J.M. McTiernan, K.R. Bromund, Ap. J. 412, 841 (1993); L. Vlahos, M. Georgoulis, R. Kluiving, P. Paschos, Astron. and Astrophys. 299, 897 (1995).

    [6] S. Chapman, N. Watkins, Space Science Reviews 95, 293 (2001).

    [7] P.M. Drysdale, P.A. Robinson, Phys. Rev. E 58, 5382 (1998).

    [8] M.F. Shlesinger, B.J. West, J. Klafter, Phys. Rev. Lett. 58, 1100 (1987).

    [9] P.A. Politzer, Phys. Rev. Lett. 84, 1192 (2000); S.C. Chapman, R.O. Dendy, B. Hnat, Phys. Rev. Lett. 86, 2814 (2001); B.A. Carreras, D. Newman, V.E. Lynch, P.H. Diamond, Phys. of Plasmas 3, 2903 (1996).

    [10] E. Spada et al., Phys. Rev. Lett. 86, 3032 (2001); V. Antoni et al., Phys. Rev. Lett. 87, 5001 (2001).

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