Abstract

The dynamical susceptibility and relaxational behaviour of the one dimensional ideal spin glass obeying Glauber's model is considered. The dynamics can be found exactly as they are related by a transformation to the dynamics of the Ising model. The susceptibility does not show simple relaxational behaviour, rather it can be scaled by two relaxation timesτ1 andτ 2 , with dynamical exponentsz1=2 andz2=1, which are just the arithmetic and geometric means of the related ferromagnetic and antiferromagnetic relaxation times. The critical slowing down at lower temperatures will result in an increasingly nearly elastic contribution to diffuse magnetic neutron scattering, while at higher temperatures the susceptibility is dominated by independent spin relaxation.

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