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The Ising Ferromagnet is a simple model with such relevance in Statistical Physics. It can be used to study order, phase-transitions and emergent phenomena.
A crystalline material is conceived of as a set of lattice points with spins. The spins (magnetic moments) of the atoms in the magnet can either be up or down. Spins can change as a result of being influenced by neighboring spins and by the ambient temperature. Spins prefer to align with their neighbors. The overall behavior of the system will vary depending on the temperature.
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