Abstract

The dynamics of a soft-spin version of the Sherrington-Kirkpatrick model are calculated near the de Almeida-Thouless (AT) instability line. Lines of constant average relaxation timest0 approach for nt0⪞10 the AT line in the field (H)-temperature (T) plane and exhibit for 1nt0<10 a cross-over fromH2=4/3(1−T)3 to a square root law. The temperature of the susceptibility cusp turns out to be independent of frequency.

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