High-Temperature Dynamics of Spin Glasses

Abstract

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.

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

References in corpus (4)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Order-Parameter Flow in the SK Spin-Glass II: Inclusion of Microscopic Memory Effects
• Dynamical Replica Theory for Disordered Spin Systems
• Dynamical Probability Distribution Function of the SK Model at High Temperatures