Physics – Condensed Matter
Scientific paper
1997-08-18
Physics
Condensed Matter
12 pages,tex
Scientific paper
10.1088/0305-4470/30/24/010
The statistical properties of the local optima (metastable states) of the infinite range Ising spin glass with p-spin interactions in the presence of an external magnetic field h are investigated analytically. The average number of optima as well as the typical overlap between pairs of identical optima are calculated for general p. Similarly to the thermodynamic order parameter, for p>2 and small h the typical overlap q_t is a discontinuous function of the energy. The size of the jump in q_t increases with p and decreases with h, vanishing at finite values of the magnetic field.
de Oliveira Viviane M.
Fontanari José F.
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