Eigen model as a quantum spin chain: exact dynamics.
We map the Eigen model of biological evolution [Naturwissenschaften 58, 465 (1971)] into a quantum spin model with non-Hermitian 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.
Saakian
David
D
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Hu
Chin-Kun
CK
D005075:Biological Evolution; D032701:Biomimetics / Q000379:methods*; D019143:Evolution, Molecular; D014644:Genetic Variation / Q000235:genetics; D008957:Models, Genetic; D015233:Models, Statistical; D009154:Mutation / Q000235:genetics*; D011157:Population Dynamics; D011789:Quantum Theory; D013113:Spin Labels
D013113:Spin Labels