Viviane M de Oliveira and J F Fontanari 1997 J. Phys. A: Math. Gen. 30 8445 doi:10.1088/0305-4470/30/24/010
Landscape statistics of the p-spin Ising model
Viviane M de Oliveira and J F Fontanari
Show affiliationsThe 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 
is a discontinuous function of the energy. The size of the jump in increases with p and decreases with h, vanishing at finite values of the magnetic field.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
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82D30 Random media, disordered materials (including liquid crystals and spin glasses)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 24 (21 December 1997)
Received 4 July 1997
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Landscape statistics of the p-spin Ising model
Viviane M de Oliveira and J F Fontanari 1997 J. Phys. A: Math. Gen. 30 8445
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