Kinetic Theory Approach to the SK Spin Glass Model with Glauber Dynamics

Details Kinetic Theory Approach to the SK Spin Glass Model with Glauber Dynamics Kinetic Theory Approach to the SK Spin Glass Model with Glauber Dynamics

1997-06-18

arxiv.org/abs/cond-mat/9706185v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

accepted for publication in Journal of Physics A

Scientific paper

10.1088/0305-4470/30/16/015

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 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.

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