Abstract
Exact results on the single spin-flip Glauber dynamics of six coupled Ising spins are presented. The dynamical behaviour is found to be governed by the number of nontrivial local energy minima. In the fully frustrated paramagnetic case there are no diverging relaxation times. In the ferromagnetic case there is one long-lived mode. In the spin glass case there may be several diverging relaxation times. The longest relaxation times follow an Arrhenius law with the energy barrier determined by the energy needed to invert the ground state configuration.
Published Version
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