Manuel O Cáceres and G Liliana Insua 2005 J. Phys. A: Math. Gen. 38 3711 doi:10.1088/0305-4470/38/17/001
Manuel O Cáceres1,2 and G Liliana Insua3
Show affiliationsWe investigate the transient and the long-time behaviour of asymmetric anomalous walks in heterogeneous media. Two types of disorder are worked out explicitly: weak and strong disorder; in addition, the occurrence of disordered multiple paths is considered. We calculate the first passage time distribution of the associated stochastic transport process. We discuss the occurrence of the crossover from a power law to an exponential decay for the long-time behaviour of the distribution of the first passage times of disordered biased walks.
05.40.Fb Random walks and Levy flights
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 17 (29 April 2005)
Received 20 October 2004, in final form 16 February 2005
Published 13 April 2005
Manuel O Cáceres and G Liliana Insua 2005 J. Phys. A: Math. Gen. 38 3711
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