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

Vladimir V. Palyulin, Ralf Metzler

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number032002
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number3
DOIs
Publication statusPublished - 24 Jan 2014
Externally publishedYes

Keywords

  • anomalous diffusion
  • first passage
  • polymer translocation
  • potential landscape

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