Sherrington-Kirkpatrick model 2026-10-18
The Sherrington-Kirkpatrick model couples every distinct pair of Ising spins using independent standard normal random variables for , with . Here and have units of energy. David Sherrington and Scott Kirkpatrick introduced this scaling in 1975; their original replica-symmetric calculation gave an unphysical negative low-temperature entropy. The model and that initial proposed solution must be distinguished.[ref]
Solvable Model of a Spin-Glass by David Sherrington and Scott Kirkpatrick. pp. 1793 and 1795, coupling scaling (2), replica-symmetric assumption and acknowledged negative entropy