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

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

2006-07-10

arxiv.org/abs/q-bio/0607012v1

Biology

Quantitative Biology

Populations and Evolution

37 pages; 4 figures; to appear in J. Stat. Phys

Scientific paper

10.1007/s10955-006-9190-z

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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