Eigen model as a quantum spin chain: exact dynamics
arXiv:cond-mat/0402212 · doi:10.1103/PhysRevE.69.021913
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.
10 pages. Physical Revew E vol. 69, in press (2004)