First passage time distribution for a random walker on a random forcing energy landscape

Abstract

We present an analytical approximation scheme for the first passage time distribution on a finite interval of a random walker on a random forcing energy landscape. The approximation scheme captures the behavior of the distribution over all timescales in the problem. The results are carefully checked against numerical simulations.

arXiv comment16 pages

References in corpus (12)

• First-passage times in complex scale-invariant media
• Geometry-controlled kinetics
• Random Walkers in 1-D Random Environments: Exact Renormalization Group Analysis
• Pulling Pinned Polymers and Unzipping DNA
• DNA unzipped under a constant force exhibits multiple metastable intermediates
• Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity
• Helix or Coil? Fate of a Melting Heteropolymer
• Localization properties of the anomalous diffusion phase $x{t}^{\mu }$ in the directed trap model and in the Sinai diffusion with bias
• Pause Point Spectra in DNA Constant-Force Unzipping
• Dynamics of Molecular Motors with Finite Processivity on Heterogeneous Tracks
• Diffusion and Creep of a Particle in a Random Potential
• Tug-of-war in motility assay experiments

Cited by in corpus (2)

• Anomalous fluctuations of currents in Sinai-type random chains with strongly correlated disorder
• Random walk with hyperbolic probabilities