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For Students · Ising Model

Ising Model for a pendulum clock

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a pendulum clock live below — adjust the inputs and watch it respond, right in your browser.

Ising Model StudioLive

statistical mechanics · Metropolis Monte Carlo

Controls

Speed1×

Below the critical temperature (~2.27) domains align; above it, thermal noise wins. A live phase transition.

Presets

Temperature (J/k_B)

▶ Run in Python

Data Inspector

Lattice150×150

Magnetization0.000

T_critical≈ 2.27

Phaseordered

Governing equation

H = - J ⟨ ij ⟩ \sum s_{i} s_{j} - h i \sum s_{i}, P_{accept} = e^{- Δ E / k_{B} T} = e^{- Δ E /2.20}

Reading this result: Right at the critical point (T_c ≈ 2.27): order and disorder are in balance. Correlated clusters appear at every length scale — the hallmark critical fluctuations of a second-order phase transition.

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Frequently asked questions

Is this good for students?: Yes — this version of "Ising Model for a pendulum clock" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.