Phys. Rev. E 69, 046121 (2004) [8 pages]Solvable biological evolution model with a parallel mutation-selection schemeReceived 20 March 2003; revised 30 December 2003; published 30 April 2004 Based on the connection between a quantum spin model and an asexual biological evolution model with a single-peak fitness function in parallel mutation-selection scheme, we solve exactly both static and dynamics of the evolution model. We find that relaxation in such a parallel scheme is faster than that in a connected scheme of Eigen model. Our method can also be extended to other fitness functions. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.046121
DOI:
10.1103/PhysRevE.69.046121
PACS:
05.50.+q, 05.30.−d, 87.10.+e, 87.23.Kg
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