Correlation timescales in the Sherrington-Kirkpatrick model

Alain Billoire, Enzo Marinari
2001 Journal of Physics A: Mathematical and General  
We investigate the dynamical behavior of the Sherrington-Kirkpatrick mean field model of spin glasses by numerical simulation. All the time scales tau we have measured behave like ln(tau) propto N^epsilon, where N is the number of spins and epsilon \simeq 1/3. This is true whether the autocorrelation function used to define tau is sensitive to the full reversal of the system or not.
doi:10.1088/0305-4470/34/50/101 fatcat:sjblzqzsdvfcjaekwtamiwmbri