Monte Carlo simulation of the two-dimensional random ( ± J ) Ising model

A Monte Carlo simulation of the two-dimensional random ($\ifmmode\pm\else\textpm\fi{}J$) Ising model has characterized the equilibrium and dynamic behavior of the model. The spin-glass correlation length diverges algebraically with absolute temperature. The equilibration time obeys an Arrhenius law at low temperature. There is a "phase transition at zero temperature" and a glass transition at finite temperature. In the spin-glass frequency ($f$) regime the noise power spectrum is proportional to $\frac{1}{{f}^{(1+\ensuremath{\alpha})}}$ with $\ensuremath{\alpha}=0.28$.