dorsal/arxiv
View SchemaSchwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory
| Authors | Jeong-Man Park, Michael W. Deem |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0607012 |
| URL | https://arxiv.org/abs/q-bio/0607012 |
| DOI | 10.1007/s10955-006-9190-z |
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.
{
"annotation_id": "f382b2fd-0f1e-40fa-b44f-5bf49f60edc7",
"date_created": "2026-03-02T18:01:35.328000Z",
"date_modified": "2026-03-02T18:01:35.328000Z",
"file_hash": "229365e86979d49dc9ae763ddf172c955c179d2a0bab695bac2919d152e53af2",
"private": false,
"record": {
"abstract": "We express the Crow-Kimura and Eigen models of quasispecies theory in a\nfunctional integral representation. We formulate the spin coherent state\nfunctional integrals using the Schwinger Boson method. In this formulation, we\nare able to deduce the long-time behavior of these models for arbitrary\nreplication and degradation functions.\n We discuss the phase transitions that occur in these models as a function of\nmutation rate. We derive for these models the leading order corrections to the\ninfinite genome length limit.",
"arxiv_id": "q-bio/0607012",
"authors": [
"Jeong-Man Park",
"Michael W. Deem"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1007/s10955-006-9190-z",
"title": "Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory",
"url": "https://arxiv.org/abs/q-bio/0607012"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8b2774e8-bdfa-487c-ac52-2d8129bd77c1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}