Eigen model as a quantum spin chain: exact dynamics

Preprint

7 February 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0402212

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.

Keywords

NATURWISSENSCHAFTEN
MODEL OF BIOLOGICAL
QUANTUM SPIN MODEL
FITNESS FUNCTION
EXACT DYNAMICS
EIGEN MODEL
SPIN CHAIN
MAP EIGEN

All Related Versions

Version 1, 2004-02-07, ArXiv
Published version: Physical Review E, 69 (2), 021913.

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