Weighted averages and order parameters for the infinite range Ising spin glass

摘要: The Sherrington-Kirkpatrick spin glass model (1975) is studied by replicas and analysing the mean field equations of Thouless, Anderson Palmer (TAP) (1977). authors show that standard order parameter defined statistical mechanics given average all off-diagonal components matrix qalpha beta . There consequently no violation fluctuation dissipation theorem. They describe how to weight different solutions TAP argue there entropy from solution degeneracy. This assumption shown be internally consistent. square a expectation value for solution, averaged over solutions, q(1) if they make Parisi-Sompolinsky ansatz