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.
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 |