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What is the Ising Model

Created by Ernst Ising as a linear model of magnetic spins

A simulation of any phenomena where each point has one of two values and interacts with its nearest neighbors only

A magnetic spin can have a value of either 1 or -1

Energy of a system is calculated using the Hamiltonian

H = - K Σ si sJ - B Σ si

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K is a constant

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si is the spin, -1 or 1, of the ith particle

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I and J are adjacent particles

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B is the magnitude of the externally applied magnetic field

William Rowan Hamilton, 1805-1865

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