KINETIC THEORY APPROACH TO THE SK SPIN GLASS MODEL WITH GLAUBER DYNAMICS

摘要

A new method to analyse Glauber dynamics of the Sherrington-Kirkpatrick (SK) spin glass model is presented. The method is based on ideas used in the classical kinetic theory of fluids. It is applied to study spin correlations in the high-temperature phase (T greater than or equal to T-c) of the SK model at zero external field. The zeroth-order theory is equivalent to a disorder-dependent local equilibrium approximation. Its predictions agree well with computer simulation results. The first-order theory involves coupled evolution equations for the spin correlations and the dynamic (excess) parts of the local field distributions. It qualitatively accounts for the error made in the zeroth approximation. [References: 29]