Eigen model as a quantum spin chain: exact dynamics

Details Eigen model as a quantum spin chain: exact dynamics Eigen model as a quantum spin chain: exact dynamics

2004-02-07

arxiv.org/abs/cond-mat/0402212v1

Physics

Condensed Matter

Statistical Mechanics

10 pages. Physical Revew E vol. 69, in press (2004)

Scientific paper

10.1103/PhysRevE.69.021913

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.

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