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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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Metadaten
Author details:Vladimir V. Palyulin, Ralf MetzlerORCiDGND
DOI:https://doi.org/10.1088/1751-8113/47/3/032002
ISSN:1751-8113
ISSN:1751-8121
Title of parent work (English):Journal of physics : A, Mathematical and theoretical
Publisher:IOP Publ. Ltd.
Place of publishing:Bristol
Publication type:Article
Language:English
Year of first publication:2014
Publication year:2014
Release date:2017/03/27
Tag:anomalous diffusion; first passage; polymer translocation; potential landscape
Volume:47
Issue:3
Number of pages:13
Funding institution: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
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