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Speeding up the first-passage for subdiffusion by introducing a finite potential barrier

  • We show that for a subdiffusive continuous time random walk with scale-free waiting time distribution the first-passage dynamics on a finite interval can be optimized by introduction of a piecewise linear potential barrier. Analytical results for the survival probability and first-passage density based on the fractional Fokker-Planck equation are shown to agree well with Monte Carlo simulations results. As an application we discuss an improved design for efficient translocation of gradient copolymers compared to homopolymer translocation in a quasi-equilibrium approximation.

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Author:Vladimir V. Palyulin, Ralf MetzlerORCiDGND
ISSN:1751-8113 (print)
ISSN:1751-8121 (online)
Parent Title (English):Journal of physics : A, Mathematical and theoretical
Publisher:IOP Publ. Ltd.
Place of publication:Bristol
Document Type:Article
Year of first Publication:2014
Year of Completion:2014
Release Date:2017/03/27
Tag:anomalous diffusion; first passage; polymer translocation; potential landscape
Funder:Deutsche Forschungsgemeinschaft [PA2042/1-1]; Academy of Finland within the FiDiPro scheme
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert