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26 April 2024
 
  » arxiv » cond-mat/0105268

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First passage time problem for biased continuous-time random walks
Govindan Rangarajan ; Mingzhou Ding ;
Date 14 May 2001
Journal Fractals 8 (2000) 139-145
Subject Statistical Mechanics; Chemical Physics; Probability | cond-mat.stat-mech math.PR physics.chem-ph
AbstractWe 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.
Source arXiv, cond-mat/0105268
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