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- Mathematical model of ferromagnetism in statistical mechanicsThe Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1).en.wikipedia.org/wiki/Ising_model
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The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or … See more
The thermodynamic limit exists as long as the interaction decay is $${\displaystyle J_{ij}\sim |i-j|^{-\alpha }}$$ with α > 1.
• In … See moreIn three as in two dimensions, the most studied case of the Ising model is the translation-invariant model on a cubic lattice with nearest … See more
The most studied case of the Ising model is the translation-invariant ferromagnetic zero-field model on a d-dimensional lattice, namely, Λ = Z , Jij … See more
One of Democritus' arguments in support of atomism was that atoms naturally explain the sharp phase boundaries observed in materials … See more
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The Ising model can often be difficult to evaluate numerically if there are many states in the system. Consider an Ising model with See more• In the ferromagnetic case there is a phase transition. At low temperature, the Peierls argument proves positive magnetization for the … See more
Wikipedia text under CC-BY-SA license WEBThe Ising model. Ferromagnetism arises when a collection of atomic spins align such that their associated magnetic moments all point in the same direction, yielding a net magnetic moment which is macroscopic in …
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