Dynamical Probability Distribution Function of the SK Model at High Temperatures
Condensed Matter
2009-10-28 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/9512167,
title = {Dynamical Probability Distribution Function of the SK Model at High Temperatures},
author = {Hidetoshi Nishimori and Michiko Yamana},
journal= {arXiv preprint arXiv:cond-mat/9512167},
year = {2009}
}
Comments
LaTeX, 6 pages, Figures upon request (here revised), To be published in J. Phys. Soc. Jpn. 65 (1996) No.1