A Neural Network Model of an Ising Spin Glass |
| K.F. Wilson and D.J. Goossens Department of Physics, Monash University, Clayton 3168, Australia |
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| The behaviour of an Ising spin glass (S=1/2) with infinite range interactions is modelled using a numerical simulation based on a neural network. Thermodynamic variables are defined on the network, and are found to obey the Thouless-Anderson-Palmer theory when the applied magnetic field is zero. When a magnetic field is applied along the spin direction, complex field-dependent behaviour appears, including a state in which the Edwards-Anderson order parameter is independent of temperature below the critical temperature. |
| DOI: 10.12693/APhysPolA.97.983 PACS numbers: 75.10.-b, 75.10.Nr, 84.35.+i |