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

Vladimir V Palyulin, Ralf Metzler
2013 Journal of Physics A: Mathematical and Theoretical  
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 optimised 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 discus an improved deign for efficient translocation of gradient
more » ... ers compared to homopolymer translocation in a quasi-equilibrium approximation.
doi:10.1088/1751-8113/47/3/032002 fatcat:vk7p7wuegngr3dngjyy54m2h5a