Phys. Rev. E 69, 021913 (2004) [5 pages]Eigen model as a quantum spin chain: Exact dynamics |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1975: |
David Saakian1,2 and Chin-Kun Hu1 *
1Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan
2Yerevan Physics Institute, Alikhanian Brothers Street 2, Yerevan 375036, Armenia
Received 8 September 2003; revised 1 December 2003; published 27 February 2004
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.
©2004 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v69/e021913
DOI: 10.1103/PhysRevE.69.021913
PACS: 87.10.+e, 87.15.Aa, 87.23.Kg, 02.50.-r
* Corresponding author. Electronic address: huck@phys.sinica.edu.tw
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