TY  - JOUR
A1  - Palyulin, Vladimir V.
A1  - Metzler, Ralf
T1  - Speeding up the first-passage for subdiffusion by introducing a finite potential barrier
T2  - Journal of physics : A, Mathematical and theoretical
N2  - 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.
KW  - first passage
KW  - anomalous diffusion
KW  - potential landscape
KW  - polymer translocation
Y1  - 2014
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/38146
SN  - 1751-8113
SN  - 1751-8121
VL  - 47
IS  - 3
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -