DYNAMICAL PROBABILITY-DISTRIBUTION FUNCTION OF THE SK MODEL AT HIGH-TEMPERATURES

The microscopic probability distribution function of the Sherrington-K irkpatrick (SK) model of spin glasses is calculated explicitly as a fu nction 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 dy namics 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 whe n the temperature is suddenly changed within the high-temperature regi on.