Some rigorous results on the Sherrington-Kirkpatrick spin glass model

M. Aizenman, Joel Lebowitz, D. Ruelle

Research output: Contribution to journalArticle

110 Citations (Scopus)

Abstract

We prove that in the high temperature regime (T/J>1) the deviation of the total free energy of the Sherrington-Kirkpatrick (S-K) spin glass model from the easily computed log Av(ZN({βJ})) converges in distribution, as N → ∞, to a (shifted) Gaussian variable. Some weak results about the low temperature regime are also obtained.

Original languageEnglish (US)
Pages (from-to)3-20
Number of pages18
JournalCommunications In Mathematical Physics
Volume112
Issue number1
DOIs
StatePublished - Mar 1 1987

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Spin Glass
spin glass
Free Energy
Deviation
free energy
deviation
Converge
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Some rigorous results on the Sherrington-Kirkpatrick spin glass model. / Aizenman, M.; Lebowitz, Joel; Ruelle, D.

In: Communications In Mathematical Physics, Vol. 112, No. 1, 01.03.1987, p. 3-20.

Research output: Contribution to journalArticle

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