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Article

Eigen model as a quantum spin chain: exact dynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics - 1 Feb 2004

Saakian David, Hu Chin-Kun

Abstract excerpt

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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Identifiers

PMID: 14995497
DOI: 10.1103/PhysRevE.69.021913

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 7 Sept 2026. Manifest publication-graph-cohort-2026-09-08.1.

Source receipt: pubmed, retrieved 7 Sept 2026.

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