Relaxation of remanent magnetisation in a model spin glass

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Abstract
A model of planar spin rotators, introduced by Edwards and Anderson, is extended to include magnetised states. The average equilibrium energy (2N degenerate) is shown to contain a term dependent on the square of the magnetisation per spin m. From this the zero-temperature limit of the susceptibility can be derived. It is further shown that the relaxation rate towards decrease of magnetisation is exponential in m, thus leading to a logarithmic relaxation in time.

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