Fig 1.
Spatial configurations in the Ising model.
Typical spatial configurations for a 2-dimensional Ising model. Three regimes are shown: a) T < Tc, b) T ≈ Tc and c) T > Tc. Black squares represent spins with σ = +1 and white one correspond to σ = −1.
Fig 2.
Total magnetization as a function of time in the Ising model.
Typical behavior of the total magnetization time series in a 2-dimensional Ising model. Three regimes are shown: a) T < Tc, b) T ≈ Tc and c) T > Tc. It is important to notice the change of scale between plots.
Fig 3.
Temporal mean as a function of temperature.
Ensemble behavior of the mean as a function of temperature. The mean corresponds to the total magnetization of the system. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc. Note that the mean can also approach −1 at low temperatures; we only show here the positive values.
Fig 4.
Temporal variance as a function of temperature.
Ensemble behavior of the variance as a function of temperature. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc.
Fig 5.
Absolute values of temporal skewness as a function of temperature.
Ensemble behavior of the skewness as a function of temperature. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc.
Fig 6.
Temporal kurtosis as a function of temperature.
Ensemble behavior of the kurtosis as a function of temperature. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc.
Fig 7.
Temporal auto correlation at lag 1 as a function of temperature.
Ensemble behavior of the autocorrelation function for lag τ = 1 as a function of temperature. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc.
Fig 8.
Power Spectral Density as a function of temperature.
Ensemble behavior of the Power Spectral Density as a function of temperature. Panel (a) shows the behavior of the PSD for temperatures T ≤ Tc. Temperature increases from bottom to top, with Tc corresponding to the topmost curve. Panel (b) shows the behavior of the PSD for temperatures T ≥ Tc. Temperature increases from top to bottom, with Tc corresponding to the topmost curve. The crossover frequency for each temperature is shown as a red dot.
Fig 9.
Crossover frequency as a function of temperature.
Behavior of the crossover frequency as a function of temperature. Three regimes are shown, T < Tc, T ≈ Tc and T > Tc.