Self-localization of directed polymers and oppressive population control
Statistical Mechanics
2007-05-23 v1 q-bio
Abstract
We construct a phenomenological theory of self-localization of directed polymers in d+1 dimensions. In d=1 we show that the polymer is always self-localized, whereas in d=2 there is a phase transition between localized and free states. We also map this system to a model of population dynamics with fixed total population. Our previous results translate to static and expanding population clusters, depending on the birth and death rates. A novel ``pseudo-travelling wave'' is observed in some sectors of parameter space.
Keywords
Cite
@article{arxiv.cond-mat/9911112,
title = {Self-localization of directed polymers and oppressive population control},
author = {T. J. Newman and Eugene B. Kolomeisky},
journal= {arXiv preprint arXiv:cond-mat/9911112},
year = {2007}
}
Comments
4 pages, 2 figures, submitted to Physical Review Letters