Total magnetization as a function of time in the Ising model.

<p>Typical behavior of the total magnetization time series in a 2-dimensional Ising model. Three regimes are shown: a) <i>T</i> < <i>T</i>_<i>c</i>, b) <i>T</i> ≈ <i>T</i>_<i>c</i> and c) <i>T</i> > <i>T</i>_<i>c</i>. It is important to notice the change of scale between plots.</p

Temporal mean as a function of temperature.

<p>Ensemble behavior of the mean as a function of temperature. The mean corresponds to the total magnetization of the system. Three regimes are shown, <i>T</i> < <i>T</i>_<i>c</i>, <i>T</i> ≈ <i>T</i>_<i>c</i> and <i>T</i> > <i>T</i>_<i>c</i>. Note that the mean can also approach −1 at low temperatures; we only show here the positive values.</p

Spatial configurations in the Ising model.

<p>Typical spatial configurations for a 2-dimensional Ising model. Three regimes are shown: a) <i>T</i> < <i>T</i>_<i>c</i>, b) <i>T</i> ≈ <i>T</i>_<i>c</i> and c) <i>T</i> > <i>T</i>_<i>c</i>. Black squares represent spins with <i>σ</i> = +1 and white one correspond to <i>σ</i> = −1.</p

Temporal auto correlation at lag 1 as a function of temperature.

<p>Ensemble behavior of the autocorrelation function for lag <i>τ</i> = 1 as a function of temperature. Three regimes are shown, <i>T</i> < <i>T</i>_<i>c</i>, <i>T</i> ≈ <i>T</i>_<i>c</i> and <i>T</i> > <i>T</i>_<i>c</i>.</p

Spatial configurations in the Ising model.

<p>Typical spatial configurations for a 2-dimensional Ising model. Three regimes are shown: a) <i>T</i> < <i>T</i>_<i>c</i>, b) <i>T</i> ≈ <i>T</i>_<i>c</i> and c) <i>T</i> > <i>T</i>_<i>c</i>. Black squares represent spins with <i>σ</i> = +1 and white one correspond to <i>σ</i> = −1.</p

Temporal kurtosis as a function of temperature.

<p>Ensemble behavior of the kurtosis as a function of temperature. Three regimes are shown, <i>T</i> < <i>T</i>_<i>c</i>, <i>T</i> ≈ <i>T</i>_<i>c</i> and <i>T</i> > <i>T</i>_<i>c</i>.</p

Crossover frequency as a function of temperature.

<p>Behavior of the crossover frequency as a function of temperature. Three regimes are shown, <i>T</i> < <i>T</i>_<i>c</i>, <i>T</i> ≈ <i>T</i>_<i>c</i> and <i>T</i> > <i>T</i>_<i>c</i>.</p

Temporal variance as a function of temperature.

<p>Ensemble behavior of the variance as a function of temperature. Three regimes are shown, <i>T</i> < <i>T</i>_<i>c</i>, <i>T</i> ≈ <i>T</i>_<i>c</i> and <i>T</i> > <i>T</i>_<i>c</i>.</p