### Abstract

Parisi's replica symmetry breaking solution for spin glasses is extended to finite replica number n. The free energy F_{p}(n) obtained this way, as well as its first two derivatives with respect to n, are shown to join the corresponding values in the Sherrington-Kirkpatrick (SK) solution at a characteristic value n_{s}(T), where stability breaks down in the latter. The continuation composed of the SK branch F_{SK}(n) for n>or=n_{s}(T) and the Parisi branch F_{P}(n) for 0<or=n<or=n_{S}(T) fulfils the requirements of convexity, monotonicity and stability for all n.

Original language | English |
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Article number | 006 |

Pages (from-to) | L127-L131 |

Journal | Journal of Physics A: General Physics |

Volume | 16 |

Issue number | 4 |

DOIs | |

Publication status | Published - Dec 1 1983 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics