Eigen model as a quantum spin chain: exact dynamics.

نویسندگان

  • David Saakian
  • Chin-Kun Hu
چکیده

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.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 69 2 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2004