Eigen model as a quantum spin chain: exact dynamics
Statistical Mechanics
2009-11-10 v1
Abstract
We map Eigen model of biological evolution [Naturwissenschaften {\bf 58}, 465 (1971)] into a one-dimensional quantum spin model with non-Hermitean Hamiltonian. Based on such a connection, we derive exact relaxation periods for the Eigen model to approach static energy landscape from various initial conditions. We also study a simple case of dynamic fitness function.
Cite
@article{arxiv.cond-mat/0402212,
title = {Eigen model as a quantum spin chain: exact dynamics},
author = {David Saakian and Chin-Kun Hu},
journal= {arXiv preprint arXiv:cond-mat/0402212},
year = {2009}
}
Comments
10 pages. Physical Revew E vol. 69, in press (2004)