Molecular Spiders in One Dimension
Statistical Mechanics
2007-08-25 v1 Probability
Quantitative Methods
Abstract
Molecular spiders are synthetic bio-molecular systems which have "legs" made of short single-stranded segments of DNA. Spiders move on a surface covered with single-stranded DNA segments complementary to legs. Different mappings are established between various models of spiders and simple exclusion processes. For spiders with simple gait and varying number of legs we compute the diffusion coefficient; when the hopping is biased we also compute their velocity.
Cite
@article{arxiv.0705.2594,
title = {Molecular Spiders in One Dimension},
author = {Tibor Antal and P. L. Krapivsky and Kirone Mallick},
journal= {arXiv preprint arXiv:0705.2594},
year = {2007}
}