title: Solvable biological evolution model with a parallel mutation-selection scheme.
abstract: 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.
authors.affiliation: Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
authors.forename: David B
authors.initials: DB
authors.lastname: Saakian
authors.forename: Chin-Kun
authors.initials: CK
authors.lastname: Hu