First passage time problem for biased continuous-time random walks

Details First passage time problem for biased continuous-time random walks First passage time problem for biased continuous-time random walks

2001-05-14

arxiv.org/abs/cond-mat/0105268v1

Fractals 8 (2000) 139-145

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

We study the first passage time (FPT) problem for biased continuous time random walks. Using the recently formulated framework of fractional Fokker-Planck equations, we obtain the Laplace transform of the FPT density function when the bias is constant. When the bias depends linearly on the position, the full FPT density function is derived in terms of Hermite polynomials and generalized Mittag-Leffler functions.

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