First Passage Properties of Molecular Spiders
arXiv:1304.5572 · doi:10.1103/PhysRevE.88.012724
Abstract
Molecular spiders are synthetic catalytic DNA-based nanoscale walkers. We study the mean first passage time for abstract models of spiders moving on a finite two-dimensional lattice with various boundary conditions, and compare it with the mean first passage time of spiders moving on a one-dimensional track. We evaluate by how much the slowdown on newly visited sites, owing to catalysis, can improve the mean first passage time of spiders and show that in one dimension, when both ends of the track are an absorbing boundary, the performance gain is lower than in two dimensions, when the absorbing boundary is a circle; this persists even when the absorbing boundary is a single site.
10 pages, 15 figures
References in corpus (7)
- First passages in bounded domains: When is the mean first passage time meaningful?
- Molecular Spiders with Memory
- Superdiffusive transport by multivalent molecular walkers moving under load
- Molecular Spiders in One Dimension
- Cooperative effects enhance the transport properties of molecular spider teams
- Molecular Spiders on the Plane
- Anomalous transport in disordered exclusion processes with coupled particles