### Abstract

A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

Original language | English (US) |
---|---|

Pages (from-to) | 23-30 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 18 |

Issue number | 1 |

State | Published - 1976 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*18*(1), 23-30.

**Metastability and the analytic continuation of eigenvalues.** / Newman, Charles; Schulman, L. S.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 18, no. 1, pp. 23-30.

}

TY - JOUR

T1 - Metastability and the analytic continuation of eigenvalues

AU - Newman, Charles

AU - Schulman, L. S.

PY - 1976

Y1 - 1976

N2 - A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

AB - A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

UR - http://www.scopus.com/inward/record.url?scp=36749109326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749109326&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 23

EP - 30

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -