8 research outputs found
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><sub><i>c</i></sub>, b) <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and c) <i>T</i> > <i>T</i><sub><i>c</i></sub>. 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><sub><i>c</i></sub>, <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and <i>T</i> > <i>T</i><sub><i>c</i></sub>. 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><sub><i>c</i></sub>, b) <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and c) <i>T</i> > <i>T</i><sub><i>c</i></sub>. 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><sub><i>c</i></sub>, <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and <i>T</i> > <i>T</i><sub><i>c</i></sub>.</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><sub><i>c</i></sub>, b) <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and c) <i>T</i> > <i>T</i><sub><i>c</i></sub>. 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><sub><i>c</i></sub>, <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and <i>T</i> > <i>T</i><sub><i>c</i></sub>.</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><sub><i>c</i></sub>, <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and <i>T</i> > <i>T</i><sub><i>c</i></sub>.</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><sub><i>c</i></sub>, <i>T</i> ≈ <i>T</i><sub><i>c</i></sub> and <i>T</i> > <i>T</i><sub><i>c</i></sub>.</p