461 citations · 1.6k across the 49 of their papers we have counts for
3 papers · 2 filters
Fluctuation-driven directed transport in the presence of Levy flights
D. del-Castillo-Negrete, V. Yu. Gonchar, A. V. Chechkin
Numerical evidence of directed transport driven by symmetric Levy noise in time-independent ratchet potentials in the absence of an external tilting force is presented. The results…
Leapover lengths and first passage time statistics for Lévy flights
Tal Koren, Michael A. Lomholt, Aleksei V. Chechkin +2
Exact results for the first passage time and leapover statistics of symmetric and one-sided Levy flights (LFs) are derived. LFs with stable index alpha are shown to have leapover l…
Lévy Statistics and Anomalous Transport: Lévy flights and Subdiffusion
Ralf Metzler, Aleksei V. Chechkin, Joseph Klafter
Levy flights and subdiffusive processes and their properties are discussed. We derive the space- and time-fractional transport equations, and consider their solutions in external p…