High-Temperature Dynamics of Spin Glasses

Details High-Temperature Dynamics of Spin Glasses High-Temperature Dynamics of Spin Glasses

1997-05-02

arxiv.org/abs/cond-mat/9705019v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

24 pages, figures available on request, LaTeX, uses jpsj.sty, to be published in J. Phys. Soc. Jpn. 66 No. 7 (1997)

Scientific paper

10.1143/JPSJ.66.1962

We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional $\pm J$ model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.

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