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Simulating Glauber dynamics for the Ising model

Simulating Glauber dynamics for the Ising model

Simulating Glauber dynamics for the Ising model

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• Consider a 2-D lattice.<br />

The “<strong>Ising</strong>” <strong>model</strong><br />

• At each site is a spin, si ∈ {−1, +1}.<br />

• Spins interact only with nearest neighbors.<br />

• There can be an external field h.<br />

• Thus <strong>the</strong> energy <strong>for</strong> each spin, Ei:<br />

Ei = − <br />

Jijsisj − hsi<br />

{sj}

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