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Kinetic theory approach to the SK spin glass model with Glauber dynamics

Grzegorz Szamel
1997 Journal of Physics A: Mathematical and General  
I present a new method to analyze Glauber dynamics of the Sherrington-Kirkpatrick (SK) spin glass model. The method is based on ideas used in the classical kinetic theory of fluids. I apply it to study spin correlations in the high temperature phase ($T\ge T_c$) 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
more » ... y involves coupled evolution equations for the spin correlations and the dynamic (excess) parts of the local field distributions. It accounts qualitatively for the error made in the zeroth approximation.
doi:10.1088/0305-4470/30/16/015 fatcat:f5fh6gasmjgo3mjobab4tgrhoa