First passage time statistics for two-channel diffusion
arXiv:1608.02397 · doi:10.1088/1751-8121/aa5204
Abstract
We present rigorous results for the mean first passage time and first passage time statistics for two-channel Markov additive diffusion in a 3-dimensional spherical domain. Inspired by biophysical examples we assume that the particle can only recognise the target in one of the modes, which is shown to effect a non-trivial first passage behaviour. We also address the scenario of intermittent immobilisation. In both cases we prove that despite the perfectly non-recurrent motion of two-channel Markov additive diffusion in 3 dimensions the first passage statistics at long times do not display Poisson-like behaviour if none of the phases has a vanishing diffusion coefficient. This stands in stark contrast to the standard (one-channel) Markov diffusion counterpart. We also discuss the relevance of our results in the context of cellular signalling.
Version accepted in Journal of Physics A: Mathematical and Theoretical (for the Special Issue: Emerging talents)
References in corpus (13)
- Anomalous transport in the crowded world of biological cells
- Kinetics of protein-DNA interaction: facilitated target location in sequence-dependent potential
- A physical perspective on cytoplasmic streaming (invited)
- First passages for a search by a swarm of independent random searchers
- Spatial effects on the speed and reliability of protein-DNA search
- Non-ergodicity, fluctuations, and criticality in heterogeneous diffusion processes
- Occupation Time Statistics in the Quenched Trap Model
- Collective dynamics effect transient subdiffusion of inert tracers in gel networks
- Statistical Properties of Functionals of the Paths of a Particle Diffusing in a One-Dimensional Random Potential
- Localization and universal fluctuations in ultraslow diffusion processes
- Exit time distribution in spherically symmetric two-dimensional domains
- Optimization and universality of Brownian search in quenched heterogeneous media
- A single predator charging a herd of prey: effects of self volume and predator-prey decision-making