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Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory

Jeong-Man Park·Michael W. Deem
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Abstract

We express the Crow-Kimura and Eigen models of quasispecies theory in a functional integral representation. We formulate the spin coherent state functional integrals using the Schwinger Boson method. In this formulation, we are able to deduce the long-time behavior of these models for arbitrary replication and degradation functions. We discuss the phase transitions that occur in these models as a function of mutation rate. We derive for these models the leading order corrections to the infinite genome length limit.

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Jeong-Man Park, Michael W. Deem. 2006-07-10. Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory. https://doi.org/10.1007/s10955-006-9190-z

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