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Dynamical Probability Distribution Function of the SK Model at High Temperatures

Year: 1996
Type: article
Abstract: The microscopic probability distribution function of the Sherrington-Kirkpatrick (SK) model of spin glasses is calculated explicitly as a function of time by a high-temperature expansion. The resulting formula to the third order of the inverse temperature shows that an assumption made by Coolen, Laughton and Sherrington in their recent theory of dynamics is violated. Deviations of their theory from exact results are estimated quantitatively. Our formula also yields explicit expressions of the time dependence of various macroscopic physical quantities when the temperature is suddenly changed within the high-temperature region.
Authors: Hidetoshi Nishimori, Michiko Yamana
Language: English
Open Access status: green
OpenAlex ID: W1973631983
FWCI: 0.458
Cites: 10
Cited by: 10
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