@misc{PalyulinAlaNissilaMetzler2014,
  author    = {Palyulin, Vladimir V. and Ala-Nissila, Tapio and Metzler, Ralf},
  title     = {Polymer translocation: the first two decades and the recent diversification},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-76287},
  pages     = {9016 -- 9037},
  year      = {2014},
  abstract  = {Probably no other field of statistical physics at the borderline of soft matter and biological physics has caused such a flurry of papers as polymer translocation since the 1994 landmark paper by Bezrukov, Vodyanoy, and Parsegian and the study of Kasianowicz in 1996. Experiments, simulations, and theoretical approaches are still contributing novel insights to date, while no universal consensus on the statistical understanding of polymer translocation has been reached. We here collect the published results, in particular, the famous-infamous debate on the scaling exponents governing the translocation process. We put these results into perspective and discuss where the field is going. In particular, we argue that the phenomenon of polymer translocation is non-universal and highly sensitive to the exact specifications of the models and experiments used towards its analysis.},
  language  = {en}
}
@article{PalyulinMetzler2012,
  author    = {Palyulin, Vladimir V. and Metzler, Ralf},
  title     = {How a finite potential barrier decreases the mean first-passage time},
  series = {Journal of statistical mechanics: theory and experiment},
  journal   = {Journal of statistical mechanics: theory and experiment},
  number    = {1},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {1742-5468},
  doi       = {10.1088/1742-5468/2012/03/L03001},
  pages     = {10},
  year      = {2012},
  abstract  = {We consider the mean first-passage time of a random walker moving in a potential landscape on a finite interval, the starting and end points being at different potentials. From analytical calculations and Monte Carlo simulations we demonstrate that the mean first-passage time for a piecewise linear curve between these two points is minimized by the introduction of a potential barrier. Due to thermal fluctuations, this barrier may be crossed. It turns out that the corresponding expense for this activation is less severe than the gain from an increased slope towards the end point. In particular, the resulting mean first-passage time is shorter than for a linear potential drop between the two points.},
  language  = {en}
}
@misc{PalyulinAlaNissilaMetzler2014,
  author    = {Palyulin, Vladimir V. and Ala-Nissila, Tapio and Metzler, Ralf},
  title     = {Polymer translocation: the first two decades and the recent diversification},
  series = {Soft matter},
  volume    = {10},
  journal   = {Soft matter},
  number    = {45},
  publisher = {Royal Society of Chemistry},
  address   = {Cambridge},
  issn      = {1744-683X},
  doi       = {10.1039/c4sm01819b},
  pages     = {9016 -- 9037},
  year      = {2014},
  abstract  = {Probably no other field of statistical physics at the borderline of soft matter and biological physics has caused such a flurry of papers as polymer translocation since the 1994 landmark paper by Bezrukov, Vodyanoy, and Parsegian and the study of Kasianowicz in 1996. Experiments, simulations, and theoretical approaches are still contributing novel insights to date, while no universal consensus on the statistical understanding of polymer translocation has been reached. We here collect the published results, in particular, the famous-infamous debate on the scaling exponents governing the translocation process. We put these results into perspective and discuss where the field is going. In particular, we argue that the phenomenon of polymer translocation is non-universal and highly sensitive to the exact specifications of the models and experiments used towards its analysis.},
  language  = {en}
}
@article{PalyulinMetzler2014,
  author    = {Palyulin, Vladimir V. and Metzler, Ralf},
  title     = {Speeding up the first-passage for subdiffusion by introducing a finite potential barrier},
  series = {Journal of physics : A, Mathematical and theoretical},
  volume    = {47},
  journal   = {Journal of physics : A, Mathematical and theoretical},
  number    = {3},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {1751-8113},
  doi       = {10.1088/1751-8113/47/3/032002},
  pages     = {13},
  year      = {2014},
  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.},
  language  = {en}
}