INTERPOLATING BETWEEN FERROMAGNETS AND SPIN-GLASSES

The nature of some classical N-spin systems with N independent random interactions is examined for 02. It is found that in the mean-field limit the appropriate scaling of the interactions in the leading order is N1-/2 for 1 and N for 1<2, consistent with both known limiting cases, ferromagnets (=0) and spin glasses (=2). The dynamics is found to be spin-glass-like for >1, whereas for <1 the dynamics is characterized by short relaxation times. Similar results are obtained for a one-dimensional Ising system where the strength of the random interaction decays with the distance r as r-. © 1994 The American Physical Society.